We're dividing 8103229 by 874 
We want to figure out the number of times 8103229 can be divided by 874.

Step 1:
874 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 874

Advancing to step 2:
874 can be fit into 81 0 times, resulting in a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Take the next digit (0) from the dividend and append it to 81, then repeat: 810 / 874

Let's proceed to step 3:
The number 874 fits into 810 0 times, leaving a remainder of 810.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 810, we get 810.
Append the next digit (3) from the dividend to 810 and continue with: 8103 / 874

Advancing to step 4:
874 goes into 8103 9 times with a remainder of 237.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 7866 from 8103 and we're left with 237.
Fetch the next digit (2) from the dividend, attach it to 237 and continue: 2372 / 874

On to step 5:
2372 divided by 874 is 2 with a remainder of 624.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
If we take 1748 away from 2372, we end up with 624.
Include the next digit (2) from the dividend after 624, then repeat: 6242 / 874

Let's proceed to step 6:
If we divide 6242 by 874, we get 7 and a remainder of 124.
The next digit of our result is 7. 
Result so far: 927.0
If we take 6118 away from 6242, we end up with 124.
Grab the next digit (9) from the dividend, add it to 124, then carry on: 1249 / 874

On to step 7:
874 goes into 1249 1 times with a remainder of 375.
The next digit of our result is 1. 
Result so far: 9271.0
Subtracting 874 from 1249 leaves us with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Advancing to step 8:
874 goes into 3750 4 times with a remainder of 254.
The number 4 becomes the next digit in our result. 
Result so far: 9271.4
Subtracting 3496 from 3750 leaves us with 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Going ahead to step 9:
The number 874 fits into 2540 2 times, leaving a remainder of 792.
Record the quotient 2 as the next digit in the result. 
Result so far: 9271.42
If we take 1748 away from 2540, we end up with 792.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7920, and continue the process.

Moving on to step 10:
874 can be fit into 7920 9 times, resulting in a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 9271.429
Subtract 7866 from 7920 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 11:
The number 874 fits into 540 0 times, leaving a remainder of 540.
Record the quotient 0 as the next digit in the result. 
Result so far: 9271.429
Subtract 0 from 540 to get 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Step 12:
If we divide 5400 by 874, we get 6 and a remainder of 156.
Record the quotient 6 as the next digit in the result. 
Result so far: 9271.42906
Deduct 5244 from 5400 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Going ahead to step 13:
874 can be fit into 1560 1 times, resulting in a remainder of 686.
The next digit of our result is 1. 
Result so far: 9271.429061
The remainder is 686 after subtracting 874 from 1560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6860, and continue the process.

Advancing to step 14:
874 goes into 6860 7 times with a remainder of 742.
Use 7 as the next digit of our solution. 
Result so far: 9271.4290617
The remainder is 742 after subtracting 6118 from 6860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7420, and continue the process.

On to step 15:
874 can be fit into 7420 8 times, resulting in a remainder of 428.
Write down 8 as next digit of the result. 
Result so far: 9271.42906178
The remainder is 428 after subtracting 6992 from 7420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

The final outcome is 9271.42906178, with a leftover of 4.28e-07.