Let's divide 35639 by 86
Our goal is to divide 35639 by 86.

Moving on to step 1:
If we divide 3 by 86, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 86

Moving on to step 2:
The number 86 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (6) from the dividend, add it to 35, then carry on: 356 / 86

On to step 3:
356 divided by 86 is 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 344 from 356 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 86

Going ahead to step 4:
When dividing 123 by 86, we get 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtracting 86 from 123 leaves us with 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 86

Let's proceed to step 5:
86 can be fit into 379 4 times, resulting in a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 414.0
Subtracting 344 from 379 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 6:
86 can be fit into 350 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 414.4
If we subtract 344 from 350, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
When dividing 60 by 86, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 414.4
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
600 divided by 86 is 6 with a remainder of 84.
Put 6 as the next digit of the answer. 
Result so far: 414.406
Subtracting 516 from 600 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 9:
The number 86 fits into 840 9 times, leaving a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 414.4069
The remainder is 66 after subtracting 774 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 10:
The number 86 fits into 660 7 times, leaving a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 414.40697
Subtract 602 from 660 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 11:
580 divided by 86 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 414.406976
If we subtract 516 from 580, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 12:
640 divided by 86 is 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 414.4069767
If we subtract 602 from 640, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
380 divided by 86 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 414.40697674
Subtract 344 from 380 to 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.

The quotient of the division is 414.40697674, and the remainder is 3.6e-08.