Let's divide 762189 by 71
We want to divide 762189 by 71.

Going ahead to step 1:
71 can be fit into 7 0 times, resulting in 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 (6) from the dividend, add it to 7, then carry on: 76 / 71

Moving on to step 2:
76 divided by 71 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 71 from 76 to get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 71

On to step 3:
71 can be fit into 52 0 times, resulting in a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 52 leaves us with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 71

Moving on to step 4:
71 can be fit into 521 7 times, resulting in a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
Subtract 497 from 521 to get 24.
Grab the next digit (8) from the dividend, add it to 24, then carry on: 248 / 71

On to step 5:
If we divide 248 by 71, we get 3 and a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 1073.0
Deduct 213 from 248 and we're left with 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 71

On to step 6:
71 goes into 359 5 times with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 10735.0
If we take 355 away from 359, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
71 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10735.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
When dividing 400 by 71, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 10735.05
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
71 goes into 450 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 10735.056
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
The number 71 fits into 240 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 10735.0563
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 11:
71 can be fit into 270 3 times, resulting in a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 10735.05633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 10735.05633 with a remainder of 5.7e-05.