Đại số sơ cấp Ví dụ

$\frac{3808080}{7}$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$7$

$3$

$8$

$0$

$8$

$0$

$8$

$0$

Bước 2

Chia $38$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$

Bước 3

Nhân chữ số mới nhất của thương số $(5)$ với số chia $7$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$

Bước 4

Trừ $35$ khỏi $38$ .

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$

Bước 5

Hạ số tiếp theo của số bị chia xuống.

		$5$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Bước 6

Chia $30$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$

Bước 7

Nhân chữ số mới nhất của thương số $(4)$ với số chia $7$ .

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$

Bước 8

Trừ $28$ khỏi $30$ .

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$

Bước 9

Hạ số tiếp theo của số bị chia xuống.

		$5$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$

Bước 10

Chia $28$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$

Bước 11

Nhân chữ số mới nhất của thương số $(4)$ với số chia $7$ .

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$

Bước 12

Trừ $28$ khỏi $28$ .

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$

Bước 13

Hạ số tiếp theo của số bị chia xuống.

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

Bước 14

Chia $0$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

Bước 15

Nhân chữ số mới nhất của thương số $(0)$ với số chia $7$ .

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$

Bước 16

Trừ $0$ khỏi $0$ .

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$

Bước 17

Hạ số tiếp theo của số bị chia xuống.

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

Bước 18

Chia $8$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

Bước 19

Nhân chữ số mới nhất của thương số $(1)$ với số chia $7$ .

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$

Bước 20

Trừ $7$ khỏi $8$ .

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$
						$1$

Bước 21

Hạ số tiếp theo của số bị chia xuống.

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$
						$1$	$0$

Bước 22

Chia $10$ cho $7$ . Đặt chữ số này vào thương số trên biểu tượng chia.

		$5$	$4$	$4$	$0$	$1$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$
						$1$	$0$

Bước 23

Nhân chữ số mới nhất của thương số $(1)$ với số chia $7$ .

		$5$	$4$	$4$	$0$	$1$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$
						$1$	$0$
					$-$		$7$

Bước 24

Trừ $7$ khỏi $10$ .

		$5$	$4$	$4$	$0$	$1$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$
						$1$	$0$
					$-$		$7$
							$3$

Bước 25

Kết quả của phép chia của $\frac{3808080}{7}$ là $544011$ với số dư $3$ .

$544011 \frac{3}{7}$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$

		$5$	$4$	$4$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$

		$5$	$4$	$4$	$0$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$

		$5$	$4$	$4$	$0$	$1$
$7$	$3$	$8$	$0$	$8$	$0$	$8$	$0$
	$3$	$5$
		$3$	$0$
	$-$	$2$	$8$
			$2$	$8$
		$-$	$2$	$8$
				$0$	$0$
			$-$		$0$
					$0$	$8$
				$-$		$7$