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Calculate 36,519 divided by 3. Show your work, please.

Answer :

Answer:

12173

Step-by-step explanation:

1 21 73

3 | 365²19

Long division:

Starting from the first digit of the number being divided (i.e. 36519), move along dividing each digit by 3;

If the digit cannot be divided by 3 perfectly, the remainder should be in the next position of value to the next digit in the sequence, so for the above calculation:

First digit is 3, 3/3 = 1, so write the number 1 above;

There is no remainder so simply move to next digit;

The second digit in the number is 6, 6/3 = 2, so write 2 above, next to the previous 1;

Once again, no remainder so move on;

Third digit is 5, 5/3 = 1 with a remainder of 2, so we write 1 above, next to the previous 2 and the remainder of 2 will be placed before the next digit in the number, which is 1;

Understand, this 2 is not to be added to the digit, like 1 + 2, but rather should be added at the next higher position of value (i.e. multiplied by 10), so it will be 1 + 20, which is 21;

Now, we continue as previously, 21/3 = 7, so 7 should be written above, next to the 1;

There is no remainder, so move on;

Last digit is 9, 9/3 = 3 so this written next to the 7 above;

There is no remainder;

There are no more digits and no remainder to deal with so the division is complete;

The number above is the answer.

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