Let's divide 791431 by 874
Our goal is to divide 791431 by 874.

Going ahead to step 1:
The number 874 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 874

Advancing to step 2:
79 divided by 874 is 0 with a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 79 to get 79.
Bring next digit (1) of the dividend behind the 79 and repeat the process: 791 / 874

On to step 3:
874 goes into 791 0 times with a remainder of 791.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 791 leaves us with 791.
Append the next digit (4) from the dividend to 791 and continue with: 7914 / 874

Advancing to step 4:
874 can be fit into 7914 9 times, resulting in a remainder of 48.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 7866 from 7914, we get 48.
Grab the next digit (3) from the dividend, add it to 48, then carry on: 483 / 874

Going ahead to step 5:
The number 874 fits into 483 0 times, leaving a remainder of 483.
Put 0 as the next digit of the answer. 
Result so far: 90.0
If we take 0 away from 483, we end up with 483.
Grab the next digit (1) from the dividend, add it to 483, then carry on: 4831 / 874

Moving on to step 6:
4831 divided by 874 is 5 with a remainder of 461.
Record the quotient 5 as the next digit in the result. 
Result so far: 905.0
Deduct 4370 from 4831 and we're left with 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Moving on to step 7:
874 can be fit into 4610 5 times, resulting in a remainder of 240.
Write down 5 as next digit of the result. 
Result so far: 905.5
Subtracting 4370 from 4610 leaves us with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

On to step 8:
If we divide 2400 by 874, we get 2 and a remainder of 652.
The next digit of our result is 2. 
Result so far: 905.52
If we subtract 1748 from 2400, we get 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

Going ahead to step 9:
874 goes into 6520 7 times with a remainder of 402.
The number 7 becomes the next digit in our result. 
Result so far: 905.527
If we subtract 6118 from 6520, we get 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Advancing to step 10:
4020 divided by 874 is 4 with a remainder of 524.
The next digit of our result is 4. 
Result so far: 905.5274
If we take 3496 away from 4020, we end up with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Going ahead to step 11:
874 goes into 5240 5 times with a remainder of 870.
The next digit of our result is 5. 
Result so far: 905.52745
Deduct 4370 from 5240 and we're left with 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

Let's proceed to step 12:
When dividing 8700 by 874, we get 9 with a remainder of 834.
Write down 9 as next digit of the result. 
Result so far: 905.527459
If we take 7866 away from 8700, we end up with 834.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8340, and continue the process.

Step 13:
If we divide 8340 by 874, we get 9 and a remainder of 474.
Use 9 as the next digit of our solution. 
Result so far: 905.5274599
Subtract 7866 from 8340 to get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

The final result is 905.5274599 with a remainder of 4.74e-06.