Pra-Aljabar Contoh

$5 \div 0.37$

Langkah 1

Tulis soal pembagian dalam bentuk pembagian panjang.

$0$

$3$

$7$

$5$

Langkah 2

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

$3$

$7$

$5$

$0$

Langkah 3

Bagilah $50$ dengan $37$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$
$3$	$7$	$5$	$0$	$0$

Langkah 4

Kalikan bilangan hasil bagi terbaru $(1)$ dengan pembagi $37$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$

Langkah 5

Kurangi $37$ dengan $50$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$

Langkah 6

Turunkan bilangan pembagi berikutnya.

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Langkah 7

Bagilah $130$ dengan $37$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Langkah 8

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $37$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$

Langkah 9

Kurangi $111$ dengan $130$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Langkah 10

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Langkah 11

Turunkan bilangan pembagi berikutnya.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Langkah 12

Bagilah $190$ dengan $37$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Langkah 13

Kalikan bilangan hasil bagi terbaru $(5)$ dengan pembagi $37$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

Langkah 14

Kurangi $185$ dengan $190$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Langkah 15

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Langkah 16

Turunkan bilangan pembagi berikutnya.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Langkah 17

Bagilah $50$ dengan $37$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Langkah 18

Kalikan bilangan hasil bagi terbaru $(1)$ dengan pembagi $37$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

Langkah 19

Kurangi $37$ dengan $50$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Langkah 20

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Langkah 21

Turunkan bilangan pembagi berikutnya.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Langkah 22

Bagilah $130$ dengan $37$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Langkah 23

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $37$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$

Langkah 24

Kurangi $111$ dengan $130$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$
							$1$	$9$

Langkah 25

Hasil pembagian dari $5 \div 0.37$ adalah $13.513 \dots$ .

$13.513 \dots$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$