Đại số sơ cấp Ví dụ

$805 \div 25.9$

Bước 1

Lập bài toán chia ở dạng phép chia số lớn.

$2$

$5$

$9$

$8$

$0$

$5$

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.

$2$

$5$

$9$

$8$

$0$

$5$

$0$

Bước 3

Chia $805$ cho $259$ . Đặt chữ số này vào thương số trên biểu tượng chia.

					$3$
$2$	$5$	$9$	$8$	$0$	$5$	$0$

Bước 4

Nhân chữ số mới nhất của thương số $(3)$ với số chia $259$ .

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

Bước 5

Trừ $777$ khỏi $805$ .

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

Bước 6

Hạ số tiếp theo của số bị chia xuống.

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

Bước 7

Chia $280$ cho $259$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 8

Nhân chữ số mới nhất của thương số $(1)$ với số chia $259$ .

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

Bước 9

Trừ $259$ khỏi $280$ .

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

Bước 10

Thêm một $0$ vào cuối số bị chia.

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

Bước 11

Hạ số tiếp theo của số bị chia xuống.

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

Bước 12

Chia $210$ cho $259$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 13

Nhân chữ số mới nhất của thương số $(0)$ với số chia $259$ .

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

Bước 14

Trừ $0$ khỏi $210$ .

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

Bước 15

Thêm một $0$ vào cuối số bị chia.

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

Bước 16

Hạ số tiếp theo của số bị chia xuống.

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

Bước 17

Chia $2100$ cho $259$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 18

Nhân chữ số mới nhất của thương số $(8)$ với số chia $259$ .

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

Bước 19

Trừ $2072$ khỏi $2100$ .

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

Bước 20

Thêm một $0$ vào cuối số bị chia.

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

Bước 21

Hạ số tiếp theo của số bị chia xuống.

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

Bước 22

Chia $280$ cho $259$ . Đặt chữ số này vào thương số trên biểu tượng chia.

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

Bước 23

Nhân chữ số mới nhất của thương số $(1)$ với số chia $259$ .

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

Bước 24

Trừ $259$ khỏi $280$ .

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

Bước 25

Kết quả của phép chia của $805 \div 25.9$ là $31.081 \dots$ .

$31.081 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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