We're dividing 759776 by 71 
Our goal is to divide 759776 by 71.

Step 1:
71 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 71

Going ahead to step 2:
When dividing 75 by 71, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 4 after subtracting 71 from 75.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 71

Advancing to step 3:
The number 71 fits into 49 0 times, leaving a remainder of 49.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 49 leaves us with 49.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 71

Step 4:
71 can be fit into 497 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Subtract 497 from 497 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 71

On to step 5:
71 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 1070.0
If we subtract 0 from 7, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 71

On to step 6:
If we divide 76 by 71, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 10701.0
Subtracting 71 from 76 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
The number 71 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 10701.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
71 can be fit into 500 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10701.07
The remainder is 3 after subtracting 497 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
71 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 10701.07
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 10701.0704
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
If we divide 160 by 71, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 10701.07042
If we take 142 away from 160, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
180 divided by 71 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 10701.070422
Deduct 142 from 180 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 10701.070422 with a remainder of 3.8e-06.