Đại số sơ cấp Ví dụ

$\frac{754309}{38}$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$3$

$8$

$7$

$5$

$4$

$3$

$0$

$9$

Bước 2

Chia $75$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$

Bước 3

Nhân chữ số mới nhất của thương số $(1)$ với số chia $38$ .

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$

Bước 4

Trừ $38$ khỏi $75$ .

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$

Bước 5

Hạ số tiếp theo của số bị chia xuống.

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$

Bước 6

Chia $374$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$

Bước 7

Nhân chữ số mới nhất của thương số $(9)$ với số chia $38$ .

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

Bước 8

Trừ $342$ khỏi $374$ .

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

Bước 9

Hạ số tiếp theo của số bị chia xuống.

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

Bước 10

Chia $323$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

Bước 11

Nhân chữ số mới nhất của thương số $(8)$ với số chia $38$ .

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

Bước 12

Trừ $304$ khỏi $323$ .

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

Bước 13

Hạ số tiếp theo của số bị chia xuống.

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

Bước 14

Chia $190$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

Bước 15

Nhân chữ số mới nhất của thương số $(5)$ với số chia $38$ .

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

Bước 16

Trừ $190$ khỏi $190$ .

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

Bước 17

Hạ số tiếp theo của số bị chia xuống.

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$

Bước 18

Chia $9$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$

Bước 19

Nhân chữ số mới nhất của thương số $(0)$ với số chia $38$ .

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$
					$-$		$0$

Bước 20

Trừ $0$ khỏi $9$ .

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$
					$-$		$0$
							$9$

Bước 21

Kết quả của phép chia của $\frac{754309}{38}$ là $19850$ với số dư $9$ .

$19850 \frac{9}{38}$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$