Sure, let's solve the division of 3683 by 56 step-by-step.
1. Set up the long division:
- We will divide 3683 by 56.
2. Determine the quotient for the first part:
- Look at the first two digits of 3683, which is 36. Since 36 is smaller than 56, move to the first three digits, which is 368.
3. Divide 368 by 56:
- Find how many times 56 can go into 368 without exceeding it. 56 goes into 368 exactly 6 times because 56 6 = 336, which is the largest multiple of 56 that is less than or equal to 368.
4. Subtract and bring down the next digit:
- Subtract 336 from 368 to get the remainder: 368 - 336 = 32.
- Bring down the next digit from 3683, which is 3, to make it 323.
5. Divide 323 by 56:
- Now, determine how many times 56 can go into 323 without exceeding it. 56 goes into 323 exactly 5 times because 56 5 = 280, which is the largest multiple of 56 that is less than or equal to 323.
6. Subtract to find the final remainder:
- Subtract 280 from 323 to get the remainder: 323 - 280 = 43.
So the quotient of the division is 65, and the remainder is 43.
Therefore, when 3683 is divided by 56, the quotient is 65 and the remainder is 43.
