We look at the division of 35586 by 79 
We want to figure out the number of times 35586 can be divided by 79.

Let's proceed to step 1:
79 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 79

Advancing to step 2:
If we divide 35 by 79, we get 0 and a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 79

Going ahead to step 3:
When dividing 355 by 79, we get 4 with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 316 from 355 leaves us with 39.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 79

Advancing to step 4:
398 divided by 79 is 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we subtract 395 from 398, we get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 79

Advancing to step 5:
When dividing 36 by 79, we get 0 with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 450.0
Subtracting 0 from 36 leaves us 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.

On to step 6:
If we divide 360 by 79, we get 4 and a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 450.4
Deduct 316 from 360 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
The number 79 fits into 440 5 times, leaving a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 450.45
Subtract 395 from 440 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
79 can be fit into 450 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 450.455
The remainder is 55 after subtracting 395 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 450.455 with a remaining 0.0055.