We're dividing 76859 by 71 
Our goal is to divide 76859 by 71.

Moving on to step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 71

Step 2:
When dividing 76 by 71, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 5 after subtracting 71 from 76.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 71

Going ahead to step 3:
The number 71 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 58 to get 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 71

Going ahead to step 4:
71 can be fit into 585 8 times, resulting in a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 108.0
The remainder is 17 after subtracting 568 from 585.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 71

Going ahead to step 5:
71 goes into 179 2 times with a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 1082.0
Subtracting 142 from 179 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
If we divide 370 by 71, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1082.5
Subtract 355 from 370 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
71 goes into 150 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1082.52
If we take 142 away from 150, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
When dividing 80 by 71, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1082.521
Subtracting 71 from 80 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
If we divide 90 by 71, we get 1 and a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1082.5211
If we subtract 71 from 90, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 1082.5211, and the remainder is 0.00019.