1656÷23. Use the long division method to solve this along with explanations
To solve 1656 ÷ 23 using the long division method, follow these steps:
Step 1: Divide the first digit of the dividend (1) by the divisor (23). The quotient will be the first digit of the quotient.
1 ÷ 23 = 0
Step 2: Multiply the divisor (23) by the quotient digit (0), then subtract the result from the first digit of the dividend (1).
1 - (0 × 23) = 1
Step 3: Bring down the next digit of the dividend (6) to the right of the result obtained in step 2.
Bringing down 6 gives us 16.
Step 4: Divide the new number (16) by the divisor (23), and determine the next digit of the quotient.
16 ÷ 23 = 0
Step 5: Multiply the divisor (23) by the new quotient digit (0), then subtract the result from the number obtained in step 4.
16 - (0 × 23) = 16
Step 6: Bring down the next digit of the dividend (5) to the right of the result obtained in step 5.
Bringing down 5 gives us 165.
Step 7: Divide the new number (165) by the divisor (23), and determine the next digit of the quotient.
165 ÷ 23 = 7
Step 8: Multiply the divisor (23) by the new quotient digit (7), then subtract the result from the number obtained in step 7.
165 - (7 × 23) = 20
Step 9: Bring down the next digit of the dividend (0) to the right of the result obtained in step 8.
Bringing down 0 gives us 200.
Step 10: Divide the new number (200) by the divisor (23), and determine the next digit of the quotient.
200 ÷ 23 = 8
Step 11: Multiply the divisor (23) by the new quotient digit (8), then subtract the result from the number obtained in step 10.
200 - (8 × 23) = 16
Step 12: Bring down the next digit of the dividend (0) to the right of the result obtained in step 11.
Bringing down 0 gives us 160.
Step 13: Divide the new number (160) by the divisor (23), and determine the next digit of the quotient.
160 ÷ 23 = 6
Step 14: Multiply the divisor (23) by the new quotient digit (6), then subtract the result from the number obtained in step 13.
160 - (6 × 23) = 2
Step 15: Bring down the next digit of the dividend (0) to the right of the result obtained in step 14.
Bringing down 0 gives us 20.
Step 16: Divide the new number (20) by the divisor (23), and determine the next digit of the quotient.
20 ÷ 23 = 0
Step 17: Since there are no more digits in the dividend, we have completed the division.
Therefore, 1656 ÷ 23 = 72.