We divide 874921 by 832
We want to divide 874921 by 832.

Advancing to step 1:
8 divided by 832 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 832

Moving on to step 2:
87 divided by 832 is 0 with a remainder of 87.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Grab the next digit (4) from the dividend, add it to 87, then carry on: 874 / 832

On to step 3:
When dividing 874 by 832, we get 1 with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 832 from 874 leaves us with 42.
Include the next digit (9) from the dividend after 42, then repeat: 429 / 832

Going ahead to step 4:
429 divided by 832 is 0 with a remainder of 429.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 429, we get 429.
Fetch the next digit (2) from the dividend, attach it to 429 and continue: 4292 / 832

Let's proceed to step 5:
832 goes into 4292 5 times with a remainder of 132.
The next digit of our result is 5. 
Result so far: 105.0
Subtracting 4160 from 4292 leaves us with 132.
Bring next digit (1) of the dividend behind the 132 and repeat the process: 1321 / 832

Advancing to step 6:
832 goes into 1321 1 times with a remainder of 489.
The number 1 becomes the next digit in our result. 
Result so far: 1051.0
Deduct 832 from 1321 and we're left with 489.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4890, and continue the process.

On to step 7:
4890 divided by 832 is 5 with a remainder of 730.
Write down 5 as next digit of the result. 
Result so far: 1051.5
Subtracting 4160 from 4890 leaves us with 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7300, and continue the process.

Moving on to step 8:
7300 divided by 832 is 8 with a remainder of 644.
The number 8 becomes the next digit in our result. 
Result so far: 1051.58
The remainder is 644 after subtracting 6656 from 7300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Let's proceed to step 9:
832 can be fit into 6440 7 times, resulting in a remainder of 616.
The next digit of our result is 7. 
Result so far: 1051.587
The remainder is 616 after subtracting 5824 from 6440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

Let's proceed to step 10:
The number 832 fits into 6160 7 times, leaving a remainder of 336.
Use 7 as the next digit of our solution. 
Result so far: 1051.5877
Subtracting 5824 from 6160 leaves us with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

The final result is 1051.5877 with a remainder of 0.00336.