We look at the division of 635457 by 39 
We want to divide 635457 by 39.

Step 1:
When dividing 6 by 39, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 39

Going ahead to step 2:
39 can be fit into 63 1 times, resulting in a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 39 away from 63, we end up with 24.
Append the next digit (5) from the dividend to 24 and continue with: 245 / 39

Moving on to step 3:
39 can be fit into 245 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 234 from 245 leaves us with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 39

On to step 4:
When dividing 114 by 39, we get 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
If we subtract 78 from 114, we get 36.
Bring next digit (5) of the dividend behind the 36 and repeat the process: 365 / 39

Moving on to step 5:
39 can be fit into 365 9 times, resulting in a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 1629.0
The remainder is 14 after subtracting 351 from 365.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 39

Going ahead to step 6:
39 can be fit into 147 3 times, resulting in a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 16293.0
If we subtract 117 from 147, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
When dividing 300 by 39, we get 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 16293.7
If we take 273 away from 300, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
270 divided by 39 is 6 with a remainder of 36.
The next digit of our result is 6. 
Result so far: 16293.76
If we subtract 234 from 270, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
If we divide 360 by 39, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 16293.769
If we subtract 351 from 360, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
39 goes into 90 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 16293.7692
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
When dividing 120 by 39, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 16293.76923
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
The number 39 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 16293.76923
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
If we divide 300 by 39, we get 7 and a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 16293.7692307
If we subtract 273 from 300, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 14:
The number 39 fits into 270 6 times, leaving a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 16293.76923076
If we take 234 away from 270, we end up 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.

Our division results in 16293.76923076 with a remaining 3.6e-08.