Let's divide 109761 by 13
We want to figure out the number of times 109761 can be divided by 13.

Let's proceed to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 13

Let's proceed to step 2:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 13

Let's proceed to step 3:
13 can be fit into 109 8 times, resulting in a remainder of 5.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 104 from 109 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 13

Advancing to step 4:
The number 13 fits into 57 4 times, leaving a remainder of 5.
The next digit of our result is 4. 
Result so far: 84.0
If we take 52 away from 57, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Advancing to step 5:
13 goes into 56 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 844.0
The remainder is 4 after subtracting 52 from 56.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Step 6:
13 goes into 41 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 8443.0
Subtract 39 from 41 to 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.

Step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 8443.1
Subtract 13 from 20 to 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.

On to step 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8443.15
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.

Advancing to step 9:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 8443.153
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.

Going ahead to step 10:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 8443.1538
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.

Step 11:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 8443.15384
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.

Going ahead to step 12:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8443.153846
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.

Advancing to step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 8443.1538461
Subtract 13 from 20 to 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.

Step 14:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8443.15384615
If we subtract 65 from 70, we 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.

The quotient of the division is 8443.15384615, and the remainder is 5e-09.