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.
