We look at the division of 961634 by 13 
We want to divide 961634 by 13.

On to step 1:
13 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 13

Moving on to step 2:
When dividing 96 by 13, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 91 from 96 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Advancing to step 3:
13 goes into 51 3 times with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 73.0
Subtracting 39 from 51 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

On to step 4:
If we divide 126 by 13, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 739.0
Subtract 117 from 126 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 13

Going ahead to step 5:
The number 13 fits into 93 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 7397.0
If we subtract 91 from 93, we get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 13

On to step 6:
When dividing 24 by 13, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 73971.0
If we subtract 13 from 24, we 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 7:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 73971.8
If we subtract 104 from 110, we 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.

On to step 8:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 73971.84
Subtract 52 from 60 to 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.

Moving on to step 9:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 73971.846
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.

Advancing to step 10:
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: 73971.8461
Subtracting 13 from 20 leaves us 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.

Step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 73971.84615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 73971.846153
If we subtract 39 from 50, we 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.

On to step 13:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 73971.8461538
If we take 104 away from 110, we end up 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.

Step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 73971.84615384
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.

The quotient of the division is 73971.84615384, and the remainder is 8e-09.