We're dividing 780913 by 71 
Our goal is to divide 780913 by 71.

Let's proceed to step 1:
71 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 71

Advancing to step 2:
The number 71 fits into 78 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 71 away from 78, we end up with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 71

Going ahead to step 3:
If we divide 70 by 71, we get 0 and a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 70, we end up with 70.
Append the next digit (9) from the dividend to 70 and continue with: 709 / 71

Going ahead to step 4:
If we divide 709 by 71, we get 9 and a remainder of 70.
Write down 9 as next digit of the result. 
Result so far: 109.0
If we subtract 639 from 709, we get 70.
Take the next digit (1) from the dividend and append it to 70, then repeat: 701 / 71

Advancing to step 5:
71 goes into 701 9 times with a remainder of 62.
The next digit of our result is 9. 
Result so far: 1099.0
Deduct 639 from 701 and we're left with 62.
Bring next digit (3) of the dividend behind the 62 and repeat the process: 623 / 71

Advancing to step 6:
71 can be fit into 623 8 times, resulting in a remainder of 55.
Write down 8 as next digit of the result. 
Result so far: 10998.0
Subtract 568 from 623 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
If we divide 550 by 71, we get 7 and a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 10998.7
Subtract 497 from 550 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 8:
When dividing 530 by 71, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 10998.77
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 10998.77, and the remainder is 0.033.