We look at the division of 15634429 by 635 
Our goal is to divide 15634429 by 635.

Step 1:
When dividing 1 by 635, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 635

Step 2:
The number 635 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 635

On to step 3:
When dividing 156 by 635, we get 0 with a remainder of 156.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 156 and we're left with 156.
Append the next digit (3) from the dividend to 156 and continue with: 1563 / 635

Advancing to step 4:
If we divide 1563 by 635, we get 2 and a remainder of 293.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 1270 from 1563 leaves us with 293.
Bring next digit (4) of the dividend behind the 293 and repeat the process: 2934 / 635

Let's proceed to step 5:
When dividing 2934 by 635, we get 4 with a remainder of 394.
Write down 4 as next digit of the result. 
Result so far: 24.0
Subtract 2540 from 2934 to get 394.
Grab the next digit (4) from the dividend, add it to 394, then carry on: 3944 / 635

Step 6:
3944 divided by 635 is 6 with a remainder of 134.
Write down 6 as next digit of the result. 
Result so far: 246.0
If we take 3810 away from 3944, we end up with 134.
Append the next digit (2) from the dividend to 134 and continue with: 1342 / 635

Advancing to step 7:
635 can be fit into 1342 2 times, resulting in a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 2462.0
Subtracting 1270 from 1342 leaves us with 72.
Bring next digit (9) of the dividend behind the 72 and repeat the process: 729 / 635

On to step 8:
729 divided by 635 is 1 with a remainder of 94.
Use 1 as the next digit of our solution. 
Result so far: 24621.0
Subtract 635 from 729 to get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Going ahead to step 9:
635 can be fit into 940 1 times, resulting in a remainder of 305.
Use 1 as the next digit of our solution. 
Result so far: 24621.1
If we take 635 away from 940, we end up with 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Moving on to step 10:
The number 635 fits into 3050 4 times, leaving a remainder of 510.
Put 4 as the next digit of the answer. 
Result so far: 24621.14
If we subtract 2540 from 3050, we get 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

On to step 11:
When dividing 5100 by 635, we get 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 24621.148
Subtracting 5080 from 5100 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
635 goes into 200 0 times with a remainder of 200.
Record the quotient 0 as the next digit in the result. 
Result so far: 24621.148
Deduct 0 from 200 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 13:
When dividing 2000 by 635, we get 3 with a remainder of 95.
Use 3 as the next digit of our solution. 
Result so far: 24621.14803
The remainder is 95 after subtracting 1905 from 2000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 14:
950 divided by 635 is 1 with a remainder of 315.
The number 1 becomes the next digit in our result. 
Result so far: 24621.148031
If we subtract 635 from 950, we get 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Advancing to step 15:
If we divide 3150 by 635, we get 4 and a remainder of 610.
The next digit of our result is 4. 
Result so far: 24621.1480314
If we take 2540 away from 3150, we end up with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Step 16:
If we divide 6100 by 635, we get 9 and a remainder of 385.
Record the quotient 9 as the next digit in the result. 
Result so far: 24621.14803149
Deduct 5715 from 6100 and we're left with 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

The final outcome is 24621.14803149, with a leftover of 3.85e-07.