Let's divide 829358 by 79
Our goal is to divide 829358 by 79.

On to step 1:
79 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
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 79

Advancing to step 2:
82 divided by 79 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 79 from 82.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 79

Moving on to step 3:
39 divided by 79 is 0 with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 39, we get 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 79

Moving on to step 4:
The number 79 fits into 393 4 times, leaving a remainder of 77.
Write down 4 as next digit of the result. 
Result so far: 104.0
If we take 316 away from 393, we end up with 77.
Fetch the next digit (5) from the dividend, attach it to 77 and continue: 775 / 79

Step 5:
When dividing 775 by 79, we get 9 with a remainder of 64.
Put 9 as the next digit of the answer. 
Result so far: 1049.0
Subtracting 711 from 775 leaves us with 64.
Grab the next digit (8) from the dividend, add it to 64, then carry on: 648 / 79

Advancing to step 6:
When dividing 648 by 79, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 10498.0
If we subtract 632 from 648, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
79 goes into 160 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 10498.2
If we take 158 away from 160, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
79 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10498.2
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 79, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 10498.202
Subtracting 158 from 200 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
420 divided by 79 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10498.2025
Deduct 395 from 420 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
When dividing 250 by 79, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 10498.20253
Subtracting 237 from 250 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 12:
If we divide 130 by 79, we get 1 and a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 10498.202531
Subtract 79 from 130 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 13:
79 goes into 510 6 times with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 10498.2025316
Subtracting 474 from 510 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 14:
If we divide 360 by 79, we get 4 and a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 10498.20253164
If we subtract 316 from 360, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 10498.20253164 and a remainder of 4.4e-08.