Đại số sơ cấp Ví dụ

$\frac{126}{0.135}$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$0$

$1$

$3$

$5$

$1$

$2$

$6$

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.

$1$

$3$

$5$

$1$

$2$

$6$

$0$

Bước 3

Chia $1260$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$

Bước 4

Nhân chữ số mới nhất của thương số $(9)$ với số chia $135$ .

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$

Bước 5

Trừ $1215$ khỏi $1260$ .

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$

Bước 6

Hạ số tiếp theo của số bị chia xuống.

						$9$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$

Bước 7

Chia $450$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

						$9$	$3$
$1$	$3$	$5$	$1$	$2$	$6$	$0$	$0$	$0$
			$1$	$2$	$1$	$5$
					$4$	$5$	$0$

Bước 8

Nhân chữ số mới nhất của thương số $(3)$ với số chia $135$ .

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

Bước 9

Trừ $405$ khỏi $450$ .

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

Bước 10

Hạ số tiếp theo của số bị chia xuống.

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

Bước 11

Chia $450$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 12

Nhân chữ số mới nhất của thương số $(3)$ với số chia $135$ .

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

Bước 13

Trừ $405$ khỏi $450$ .

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

Bước 14

Thêm một $0$ vào cuối số bị chia.

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

Bước 15

Hạ số tiếp theo của số bị chia xuống.

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

Bước 16

Chia $450$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 17

Nhân chữ số mới nhất của thương số $(3)$ với số chia $135$ .

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

Bước 18

Trừ $405$ khỏi $450$ .

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

Bước 19

Thêm một $0$ vào cuối số bị chia.

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

Bước 20

Hạ số tiếp theo của số bị chia xuống.

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

Bước 21

Chia $450$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 22

Nhân chữ số mới nhất của thương số $(3)$ với số chia $135$ .

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

Bước 23

Trừ $405$ khỏi $450$ .

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

Bước 24

Thêm một $0$ vào cuối số bị chia.

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

Bước 25

Hạ số tiếp theo của số bị chia xuống.

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

Bước 26

Chia $450$ cho $135$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 27

Nhân chữ số mới nhất của thương số $(3)$ với số chia $135$ .

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

Bước 28

Trừ $405$ khỏi $450$ .

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

Bước 29

Kết quả của phép chia của $\frac{126}{0.135}$ là $933.333 \dots$ .

$933.333 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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