We're dividing 183641 by 18 
We're looking to find how many times 18 goes into 183641.

Going ahead to step 1:
18 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
If we take 0 away from 1, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 18

Moving on to step 2:
The number 18 fits into 18 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 18 from 18 leaves us with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 18

Let's proceed to step 3:
18 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 18

Step 4:
When dividing 36 by 18, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 102.0
If we take 36 away from 36, we end up with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 18

Going ahead to step 5:
18 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 1020.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 18

Advancing to step 6:
When dividing 41 by 18, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 10202.0
If we take 36 away from 41, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 18 fits into 50 2 times, leaving a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 10202.2
The remainder is 14 after subtracting 36 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
If we divide 140 by 18, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 10202.27
Subtract 126 from 140 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.

Moving on to step 9:
18 goes into 140 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 10202.277
If we subtract 126 from 140, we 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.

The final outcome is 10202.277, with a leftover of 0.0014.