3724 divided by 7 show your WORK :)

1 answer

Sure! To divide 3724 by 7, we can use long division. Here's how it works step by step:

  1. Setup the Division: Write 3724 under the long division symbol and 7 outside.

  2. Divide the first digit: How many times does 7 go into 3? It goes 0 times. So we move to the next digit.

  3. Divide the first two digits: Now consider 37. How many times does 7 go into 37? It goes 5 times (since \( 7 \times 5 = 35 \)). Write 5 above the division bar.

  4. Multiply and Subtract: Multiply 5 by 7 (which is 35) and subtract this from 37: \[ 37 - 35 = 2 \]

  5. Bring down the next digit: Bring down the next digit from 3724, which is 2. Now we have 22.

  6. Divide again: How many times does 7 go into 22? It goes 3 times (since \( 7 \times 3 = 21 \)). Write 3 above the division bar next to the 5.

  7. Multiply and Subtract: Multiply 3 by 7 (which is 21) and subtract this from 22: \[ 22 - 21 = 1 \]

  8. Bring down the last digit: Bring down the last digit from 3724, which is 4. Now we have 14.

  9. Divide again: How many times does 7 go into 14? It goes exactly 2 times (since \( 7 \times 2 = 14 \)). Write 2 above the division bar.

  10. Multiply and Subtract: Multiply 2 by 7 (which is 14) and subtract this from 14: \[ 14 - 14 = 0 \]

Now there are no more digits to bring down, and we have a remainder of 0.

Result

The result of \( 3724 \div 7 \) is 532 with a remainder of 0.

So, we can write it as: \[ 3724 \div 7 = 532 \]

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