11579841 ÷ 629 
We want to divide 11579841 by 629.

Let's proceed to step 1:
When dividing 1 by 629, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 629

Step 2:
If we divide 11 by 629, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 629

Going ahead to step 3:
629 can be fit into 115 0 times, resulting in a remainder of 115.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 115, we get 115.
Append the next digit (7) from the dividend to 115 and continue with: 1157 / 629

Advancing to step 4:
1157 divided by 629 is 1 with a remainder of 528.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 629 from 1157 to get 528.
Append the next digit (9) from the dividend to 528 and continue with: 5289 / 629

Advancing to step 5:
The number 629 fits into 5289 8 times, leaving a remainder of 257.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 5032 from 5289 leaves us with 257.
Append the next digit (8) from the dividend to 257 and continue with: 2578 / 629

On to step 6:
2578 divided by 629 is 4 with a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 184.0
Subtracting 2516 from 2578 leaves us with 62.
Bring next digit (4) of the dividend behind the 62 and repeat the process: 624 / 629

Advancing to step 7:
624 divided by 629 is 0 with a remainder of 624.
The number 0 becomes the next digit in our result. 
Result so far: 1840.0
Subtracting 0 from 624 leaves us with 624.
Fetch the next digit (1) from the dividend, attach it to 624 and continue: 6241 / 629

Moving on to step 8:
When dividing 6241 by 629, we get 9 with a remainder of 580.
Put 9 as the next digit of the answer. 
Result so far: 18409.0
Deduct 5661 from 6241 and we're left with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Let's proceed to step 9:
629 goes into 5800 9 times with a remainder of 139.
Use 9 as the next digit of our solution. 
Result so far: 18409.9
The remainder is 139 after subtracting 5661 from 5800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Step 10:
When dividing 1390 by 629, we get 2 with a remainder of 132.
Use 2 as the next digit of our solution. 
Result so far: 18409.92
Subtract 1258 from 1390 to get 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Advancing to step 11:
629 goes into 1320 2 times with a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 18409.922
Subtracting 1258 from 1320 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 18409.922 with a balance of 0.0062.