Pra-Aljabar Contoh

$0.25 \div 0.15$

Langkah 1

Tulis soal pembagian dalam bentuk pembagian panjang.

$0$

$1$

$5$

$0$

$2$

$5$

Langkah 2

Pindahkan desimal dengan jumlah tempat yang sama di kedua bilangan sampai pembaginya berupa bilangan cacah.

$1$

$5$

$2$

$5$

Langkah 3

Bagilah $25$ dengan $15$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$
$1$	$5$	$2$	$5$

Langkah 4

Kalikan bilangan hasil bagi terbaru $(1)$ dengan pembagi $15$ .

			$1$
$1$	$5$	$2$	$5$
	$-$	$1$	$5$

Langkah 5

Kurangi $15$ dengan $25$ .

			$1$
$1$	$5$	$2$	$5$
	$-$	$1$	$5$
		$1$	$0$

Langkah 6

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$
$1$	$5$	$2$	$5$	.	$0$
	$-$	$1$	$5$
		$1$	$0$

Langkah 7

Turunkan bilangan pembagi berikutnya.

			$1$
$1$	$5$	$2$	$5$	.	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$

Langkah 8

Bagilah $100$ dengan $15$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$

Langkah 9

Kalikan bilangan hasil bagi terbaru $(6)$ dengan pembagi $15$ .

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$

Langkah 10

Kurangi $90$ dengan $100$ .

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Langkah 11

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Langkah 12

Turunkan bilangan pembagi berikutnya.

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Langkah 13

Bagilah $100$ dengan $15$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Langkah 14

Kalikan bilangan hasil bagi terbaru $(6)$ dengan pembagi $15$ .

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$

Langkah 15

Kurangi $90$ dengan $100$ .

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

Langkah 16

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

Langkah 17

Turunkan bilangan pembagi berikutnya.

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

Langkah 18

Bagilah $100$ dengan $15$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

Langkah 19

Kalikan bilangan hasil bagi terbaru $(6)$ dengan pembagi $15$ .

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$

Langkah 20

Kurangi $90$ dengan $100$ .

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

Langkah 21

Hasil pembagian dari $0.25 \div 0.15$ adalah $1.666 \dots$ .

$1.666 \dots$

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	.	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$

			$1$	.	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	.	$6$	$6$	$6$
$1$	$5$	$2$	$5$	.	$0$	$0$	$0$
	$-$	$1$	$5$
		$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
			$-$		$9$	$0$
					$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$