We're dividing 197959 by 13 
Our goal is to divide 197959 by 13.

Advancing to step 1:
13 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 13

Advancing to step 2:
If we divide 19 by 13, we get 1 and a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 13 from 19 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

Going ahead to step 3:
13 can be fit into 67 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 65 from 67 leaves us with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 13

On to step 4:
The number 13 fits into 29 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 152.0
Subtracting 26 from 29 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

Step 5:
13 goes into 35 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 1522.0
Subtract 26 from 35 to get 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 13

On to step 6:
99 divided by 13 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 15227.0
If we take 91 away from 99, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 15227.6
If we take 78 away from 80, we end up 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.

Step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 15227.61
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 9:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15227.615
If we take 65 away from 70, 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.

Going ahead to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 15227.6153
Subtract 39 from 50 to get 11.
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 11:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 15227.61538
Subtracting 104 from 110 leaves us 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 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 15227.615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 15227.6153846
If we take 78 away from 80, we end up 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.

Step 14:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 15227.61538461
If we take 13 away from 20, we end up 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.

The final outcome is 15227.61538461, with a leftover of 7e-09.