Đại số sơ cấp Ví dụ

$0.45 \div 0.1215$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$0$

$1$

$2$

$1$

$5$

$0$

$4$

$5$

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.

$1$

$2$

$1$

$5$

$4$

$5$

$0$

Bước 3

Chia $4500$ cho $1215$ . Đặt chữ số này vào thương số trên biểu tượng chia.

							$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$

Bước 4

Nhân chữ số mới nhất của thương số $(3)$ với số chia $1215$ .

							$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$

Bước 5

Trừ $3645$ khỏi $4500$ .

							$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$

Bước 6

Thêm một $0$ vào cuối số bị chia.

							$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$

Bước 7

Hạ số tiếp theo của số bị chia xuống.

							$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$

Bước 8

Chia $8550$ cho $1215$ . Đặt chữ số này vào thương số trên biểu tượng chia.

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$

Bước 9

Nhân chữ số mới nhất của thương số $(7)$ với số chia $1215$ .

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$

Bước 10

Trừ $8505$ khỏi $8550$ .

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

Bước 11

Thêm một $0$ vào cuối số bị chia.

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

Bước 12

Hạ số tiếp theo của số bị chia xuống.

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

Bước 13

Chia $450$ cho $1215$ . Đặt chữ số này vào thương số trên biểu tượng chia.

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

Bước 14

Nhân chữ số mới nhất của thương số $(0)$ với số chia $1215$ .

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$

Bước 15

Trừ $0$ khỏi $450$ .

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

Bước 16

Thêm một $0$ vào cuối số bị chia.

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

Bước 17

Hạ số tiếp theo của số bị chia xuống.

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$

Bước 18

Chia $4500$ cho $1215$ . Đặt chữ số này vào thương số trên biểu tượng chia.

							$3$	.	$7$	$0$	$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$

Bước 19

Nhân chữ số mới nhất của thương số $(3)$ với số chia $1215$ .

							$3$	.	$7$	$0$	$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$
							$-$	$3$	$6$	$4$	$5$

Bước 20

Trừ $3645$ khỏi $4500$ .

							$3$	.	$7$	$0$	$3$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$
							$-$	$3$	$6$	$4$	$5$
									$8$	$5$	$5$

Bước 21

Kết quả của phép chia của $0.45 \div 0.1215$ là $3.703 \dots$ .

$3.703 \dots$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$

							$3$	.	$7$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$

							$3$	.	$7$	$0$
$1$	$2$	$1$	$5$	$4$	$5$	$0$	$0$	.	$0$	$0$	$0$
			$-$	$3$	$6$	$4$	$5$
					$8$	$5$	$5$	$0$
					$-$	$8$	$5$	$0$	$5$
								$4$	$5$	$0$
							$-$			$0$
								$4$	$5$	$0$	$0$