We divide 185646 by 13
We want to figure out the number of times 185646 can be divided by 13.

On to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 13

On to step 2:
13 can be fit into 18 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 18, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

Advancing to step 3:
When dividing 55 by 13, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 52 from 55 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 13

Advancing to step 4:
If we divide 36 by 13, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 142.0
Subtracting 26 from 36 leaves us with 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 13

Advancing to step 5:
If we divide 104 by 13, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 1428.0
The remainder is 0 after subtracting 104 from 104.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 13

Advancing to step 6:
13 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 14280.0
Deduct 0 from 6 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 14280.4
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 14280.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 14280.461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 14280.4615
Deduct 65 from 70 and we're left 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.

Let's proceed to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 14280.46153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 14280.461538
Subtract 104 from 110 to 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.

Moving on to step 13:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 14280.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 14280.46153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 14280.46153846 and a remainder of 2e-09.