We divide 17643 by 86
We want to figure out the number of times 17643 can be divided by 86.

Going ahead to step 1:
86 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 86

Let's proceed to step 2:
When dividing 17 by 86, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 86

Let's proceed to step 3:
86 can be fit into 176 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 172 from 176, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 86

Going ahead to step 4:
When dividing 44 by 86, we get 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 20.0
Subtracting 0 from 44 leaves us with 44.
Take the next digit (3) from the dividend and append it to 44, then repeat: 443 / 86

Advancing to step 5:
If we divide 443 by 86, we get 5 and a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 205.0
If we subtract 430 from 443, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
86 goes into 130 1 times with a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 205.1
Deduct 86 from 130 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.

On to step 7:
86 goes into 440 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 205.15
Subtract 430 from 440 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
86 can be fit into 100 1 times, resulting in a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 205.151
Subtract 86 from 100 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
86 goes into 140 1 times with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 205.1511
Deduct 86 from 140 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Our division results in 205.1511 with a remaining 0.00054.