Đại số sơ cấp Ví dụ

$\frac{77}{3.8}$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$3$

$8$

$7$

Bước 2

Di chuyển số thập phân ở cả hai số cùng một số lượng vị trí cho đến khi số chia là một số nguyên không âm.

$3$

$8$

$7$

$0$

Bước 3

Chia $77$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$2$
$3$	$8$	$7$	$7$	$0$

Bước 4

Nhân chữ số mới nhất của thương số $(2)$ với số chia $38$ .

			$2$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$

Bước 5

Trừ $76$ khỏi $77$ .

			$2$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$
			$1$

Bước 6

Hạ số tiếp theo của số bị chia xuống.

			$2$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$
			$1$	$0$

Bước 7

Chia $10$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$2$	$0$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$
			$1$	$0$

Bước 8

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

			$2$	$0$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$

Bước 9

Trừ $0$ khỏi $10$ .

			$2$	$0$
$3$	$8$	$7$	$7$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$

Bước 10

Thêm một $0$ vào cuối số bị chia.

			$2$	$0$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$

Bước 11

Hạ số tiếp theo của số bị chia xuống.

			$2$	$0$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$

Bước 12

Chia $100$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$

Bước 13

Nhân chữ số mới nhất của thương số $(2)$ với số chia $38$ .

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$

Bước 14

Trừ $76$ khỏi $100$ .

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

Bước 15

Thêm một $0$ vào cuối số bị chia.

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

Bước 16

Hạ số tiếp theo của số bị chia xuống.

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

Bước 17

Chia $240$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

Bước 18

Nhân chữ số mới nhất của thương số $(6)$ với số chia $38$ .

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$

Bước 19

Trừ $228$ khỏi $240$ .

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

Bước 20

Thêm một $0$ vào cuối số bị chia.

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

Bước 21

Hạ số tiếp theo của số bị chia xuống.

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

Bước 22

Chia $120$ cho $38$ . Đặt chữ số này vào thương số trên biểu tượng chia.

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

Bước 23

Nhân chữ số mới nhất của thương số $(3)$ với số chia $38$ .

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$
					$-$	$1$	$1$	$4$

Bước 24

Trừ $114$ khỏi $120$ .

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$
					$-$	$1$	$1$	$4$
								$6$

Bước 25

Kết quả của phép chia của $\frac{77}{3.8}$ là $20.263 \dots$ .

$20.263 \dots$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$

			$2$	$0$	.	$2$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$

			$2$	$0$	.	$2$	$6$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$

			$2$	$0$	.	$2$	$6$	$3$
$3$	$8$	$7$	$7$	$0$	.	$0$	$0$	$0$
	$-$	$7$	$6$
			$1$	$0$
		$-$		$0$
			$1$	$0$	$0$
			$-$		$7$	$6$
					$2$	$4$	$0$
				$-$	$2$	$2$	$8$
						$1$	$2$	$0$