We look at the division of 263629 by 79 
We want to divide 263629 by 79.

Advancing to step 1:
The number 79 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 79

On to step 2:
The number 79 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 79

Moving on to step 3:
79 goes into 263 3 times with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 237 from 263 leaves us with 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 79

Let's proceed to step 4:
If we divide 266 by 79, we get 3 and a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 237 from 266 to get 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 79

Step 5:
79 goes into 292 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 333.0
Subtracting 237 from 292 leaves us with 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 79

Moving on to step 6:
The number 79 fits into 559 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 3337.0
Deduct 553 from 559 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 79, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 3337.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
600 divided by 79 is 7 with a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 3337.07
If we take 553 away from 600, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 9:
79 goes into 470 5 times with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 3337.075
The remainder is 75 after subtracting 395 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 10:
When dividing 750 by 79, we get 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 3337.0759
If we subtract 711 from 750, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 11:
When dividing 390 by 79, we get 4 with a remainder of 74.
Put 4 as the next digit of the answer. 
Result so far: 3337.07594
The remainder is 74 after subtracting 316 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 12:
79 goes into 740 9 times with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 3337.075949
If we take 711 away from 740, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 13:
When dividing 290 by 79, we get 3 with a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 3337.0759493
The remainder is 53 after subtracting 237 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 14:
If we divide 530 by 79, we get 6 and a remainder of 56.
The next digit of our result is 6. 
Result so far: 3337.07594936
The remainder is 56 after subtracting 474 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 3337.07594936 and a remainder of 5.6e-08.