Use the stander algorithm to find 546 ➗ 13.

Question

How can you find the digit in the quotient?
divide ? by 13. The first digit
goes in the ? place.
.5 .54. .546.
hundreds
tens
ones

Answer 1

Step 1: Set up the division problem:

_______
13 | 546

Step 2: Divide the first digit of the dividend by the divisor.

5 ÷ 13 = 0

Step 3: Write the result (0) above the line in the quotient.

0
_______
13 | 546

Step 4: Multiply the divisor (13) by the first digit of the quotient (0) and write the result below the dividend. Subtract this result from the first part of the dividend.

0
_______
13 | 546
- 0
________
5

Step 5: Bring down the next digit of the dividend (4) and divide this new two-digit number by the divisor.

54 ÷ 13 = 4

Step 6: Write the result (4) next to the previous digit in the quotient. Multiply the divisor (13) by this new digit (4) and subtract this result from the new two-digit number in the dividend.

04
_______
13 | 546
- 00
________
54
- 52
_______
02

Step 7: Bring down the last digit of the dividend (6) and divide this new three-digit number by the divisor.

26 ÷ 13 = 2

Step 8: Write this new digit (2) next to the previous digits in the quotient. Multiply the divisor (13) by this new digit (2) and subtract this result from the remaining part of the dividend.

42
_______
13 | 546
- 00
________
54
- 52
_______
02
- 02
_______
0

Step 9: The remainder is 0, so the final quotient is 42.

Therefore, 546 ÷ 13 = 42.