We divide 194661 by 13
We want to figure out the number of times 194661 can be divided by 13.

Advancing to step 1:
13 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Step 2:
The number 13 fits into 19 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 6 after subtracting 13 from 19.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 13

On to step 3:
When dividing 64 by 13, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we subtract 52 from 64, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Moving on to step 4:
13 goes into 126 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 149.0
The remainder is 9 after subtracting 117 from 126.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 13

Going ahead to step 5:
13 can be fit into 96 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1497.0
Subtract 91 from 96 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Step 6:
51 divided by 13 is 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 14973.0
Subtract 39 from 51 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 14973.9
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 14973.92
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 14973.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 14973.923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 14973.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 14973.923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 14973.9230769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 14973.92307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 14973.92307692 with a remaining 4e-09.