We look at the division of 747629 by 71 
We want to divide 747629 by 71.

On to step 1:
7 divided by 71 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 71

Going ahead to step 2:
If we divide 74 by 71, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 71 from 74 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 71

On to step 3:
The number 71 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 71

Going ahead to step 4:
If we divide 376 by 71, we get 5 and a remainder of 21.
The next digit of our result is 5. 
Result so far: 105.0
Deduct 355 from 376 and we're left with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 71

Let's proceed to step 5:
212 divided by 71 is 2 with a remainder of 70.
Record the quotient 2 as the next digit in the result. 
Result so far: 1052.0
Deduct 142 from 212 and we're left with 70.
Append the next digit (9) from the dividend to 70 and continue with: 709 / 71

Going ahead to step 6:
If we divide 709 by 71, we get 9 and a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 10529.0
Subtract 639 from 709 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
When dividing 700 by 71, we get 9 with a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 10529.9
If we subtract 639 from 700, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 8:
610 divided by 71 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 10529.98
The remainder is 42 after subtracting 568 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 9:
420 divided by 71 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 10529.985
The remainder is 65 after subtracting 355 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 10:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 10529.9859
The remainder is 11 after subtracting 639 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
71 goes into 110 1 times with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 10529.98591
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 12:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 10529.985915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 13:
71 can be fit into 350 4 times, resulting in a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 10529.9859154
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 14:
71 goes into 660 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 10529.98591549
Subtract 639 from 660 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 10529.98591549, and the remainder is 2.1e-08.