Pra-Aljabar Contoh

$40 \div 0.3$

Langkah 1

Tulis soal pembagian dalam bentuk pembagian panjang.

$0$

$3$

$0$

$4$

$0$

Langkah 2

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

$3$

$0$

$4$

$0$

Langkah 3

Bagilah $40$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$
$3$	$0$	$4$	$0$	$0$	$0$

Langkah 4

Kalikan bilangan hasil bagi terbaru $(1)$ dengan pembagi $30$ .

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$

Langkah 5

Kurangi $30$ dengan $40$ .

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$

Langkah 6

Turunkan bilangan pembagi berikutnya.

			$1$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$

Langkah 7

Bagilah $100$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$

Langkah 8

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $30$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$

Langkah 9

Kurangi $90$ dengan $100$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$

Langkah 10

Turunkan bilangan pembagi berikutnya.

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Langkah 11

Bagilah $100$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Langkah 12

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $30$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

Langkah 13

Kurangi $90$ dengan $100$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Langkah 14

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Langkah 15

Turunkan bilangan pembagi berikutnya.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Langkah 16

Bagilah $100$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

Langkah 17

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $30$ .

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

Langkah 18

Kurangi $90$ dengan $100$ .

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

Langkah 19

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

Langkah 20

Turunkan bilangan pembagi berikutnya.

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$

Langkah 21

Bagilah $100$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$

Langkah 22

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $30$ .

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$

Langkah 23

Kurangi $90$ dengan $100$ .

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$

Langkah 24

Tambahkan $0$ ke belakang bilangan yang dibagi.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$

Langkah 25

Turunkan bilangan pembagi berikutnya.

			$1$	$3$	$3$	.	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$

Langkah 26

Bagilah $100$ dengan $30$ . Letakkan digit ini dalam hasil bagi di atas simbol pembagian.

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$

Langkah 27

Kalikan bilangan hasil bagi terbaru $(3)$ dengan pembagi $30$ .

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$
						$-$		$9$	$0$

Langkah 28

Kurangi $90$ dengan $100$ .

			$1$	$3$	$3$	.	$3$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$	$0$
					$-$		$9$	$0$
							$1$	$0$	$0$
						$-$		$9$	$0$
								$1$	$0$

Langkah 29

Hasil pembagian dari $40 \div 0.3$ adalah $133.333 \dots$ .

$133.333 \dots$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$

			$1$	$3$	$3$	.	$3$
$3$	$0$	$4$	$0$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$	$0$
				$-$		$9$	$0$
						$1$	$0$