Đại số sơ cấp Ví dụ

$100 \div 55.482$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$5$

$4$

$8$

$2$

$1$

$0$

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.

$5$

$4$

$8$

$2$

$1$

$0$

Bước 3

Chia $100000$ cho $55482$ . Đặt chữ số này vào thương số trên biểu tượng chia.

										$1$
$5$	$5$	$4$	$8$	$2$	$1$	$0$	$0$	$0$	$0$	$0$

Bước 4

Nhân chữ số mới nhất của thương số $(1)$ với số chia $55482$ .

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

Bước 5

Trừ $55482$ khỏi $100000$ .

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

Bước 6

Thêm một $0$ vào cuối số bị chia.

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

Bước 7

Hạ số tiếp theo của số bị chia xuống.

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

Bước 8

Chia $445180$ cho $55482$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 9

Nhân chữ số mới nhất của thương số $(8)$ với số chia $55482$ .

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

Bước 10

Trừ $443856$ khỏi $445180$ .

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

Bước 11

Thêm một $0$ vào cuối số bị chia.

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

Bước 12

Hạ số tiếp theo của số bị chia xuống.

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

Bước 13

Chia $13240$ cho $55482$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 14

Nhân chữ số mới nhất của thương số $(0)$ với số chia $55482$ .

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

Bước 15

Trừ $0$ khỏi $13240$ .

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

Bước 16

Thêm một $0$ vào cuối số bị chia.

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

Bước 17

Hạ số tiếp theo của số bị chia xuống.

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

Bước 18

Chia $132400$ cho $55482$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 19

Nhân chữ số mới nhất của thương số $(2)$ với số chia $55482$ .

										$1$	.	$8$	$0$	$2$
$5$	$5$	$4$	$8$	$2$	$1$	$0$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
					$-$	$5$	$5$	$4$	$8$	$2$
						$4$	$4$	$5$	$1$	$8$	$0$
						$-$	$4$	$4$	$3$	$8$	$5$	$6$
									$1$	$3$	$2$	$4$	$0$
								$-$					$0$
									$1$	$3$	$2$	$4$	$0$	$0$
								$-$	$1$	$1$	$0$	$9$	$6$	$4$

Bước 20

Trừ $110964$ khỏi $132400$ .

										$1$	.	$8$	$0$	$2$
$5$	$5$	$4$	$8$	$2$	$1$	$0$	$0$	$0$	$0$	$0$	.	$0$	$0$	$0$
					$-$	$5$	$5$	$4$	$8$	$2$
						$4$	$4$	$5$	$1$	$8$	$0$
						$-$	$4$	$4$	$3$	$8$	$5$	$6$
									$1$	$3$	$2$	$4$	$0$
								$-$					$0$
									$1$	$3$	$2$	$4$	$0$	$0$
								$-$	$1$	$1$	$0$	$9$	$6$	$4$
										$2$	$1$	$4$	$3$	$6$

Bước 21

Kết quả của phép chia của $100 \div 55.482$ là $1.802 \dots$ .

$1.802 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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