Let's divide 161963 by 13
Our goal is to divide 161963 by 13.

On to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Going ahead to step 2:
When dividing 16 by 13, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 13 from 16 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 13

Going ahead to step 3:
The number 13 fits into 31 2 times, leaving a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 26 away from 31, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Step 4:
When dividing 59 by 13, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 124.0
Subtract 52 from 59 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 13

Let's proceed to step 5:
When dividing 76 by 13, we get 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 1245.0
If we subtract 65 from 76, we get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 13

Going ahead to step 6:
13 goes into 113 8 times with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 12458.0
Subtracting 104 from 113 leaves us 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.

Advancing to step 7:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 12458.6
Subtract 78 from 90 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.

Moving on to step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 12458.69
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.

Let's proceed to step 9:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12458.692
Subtract 26 from 30 to get 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 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 12458.6923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12458.6923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 12458.692307
Deduct 91 from 100 and we're left 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.

On to step 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 12458.6923076
If we subtract 78 from 90, we 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.

Advancing to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 12458.69230769
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.

After the division, we end up with 12458.69230769 and a remainder of 3e-09.