Let's divide 359767 by 13
We want to figure out the number of times 359767 can be divided by 13.

On to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 13

Advancing to step 2:
If we divide 35 by 13, we get 2 and a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 26 from 35 to get 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 13

On to step 3:
13 goes into 99 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtract 91 from 99 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 13

On to step 4:
When dividing 87 by 13, we get 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 276.0
If we take 78 away from 87, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Let's proceed to step 5:
The number 13 fits into 96 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 2767.0
If we subtract 91 from 96, we get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Going ahead to step 6:
13 goes into 57 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 27674.0
Subtract 52 from 57 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.

Advancing to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 27674.3
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 27674.38
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.

On to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 27674.384
If we take 52 away from 60, 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 10:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 27674.3846
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.

Going ahead to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 27674.38461
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.

Moving on to step 12:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 27674.384615
Subtracting 65 from 70 leaves us 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.

Step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 27674.3846153
If we take 39 away from 50, we end up with 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 14:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 27674.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 27674.38461538 with a remainder of 6e-09.