We look at the division of 33766 by 13 
We want to figure out the number of times 33766 can be divided by 13.

Advancing to step 1:
13 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

On to step 2:
13 goes into 33 2 times with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 26 from 33 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Going ahead to step 3:
If we divide 77 by 13, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtracting 65 from 77 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Going ahead to step 4:
When dividing 126 by 13, we get 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 259.0
Deduct 117 from 126 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 13

Step 5:
13 goes into 96 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 2597.0
The remainder is 5 after subtracting 91 from 96.
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 6:
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: 2597.3
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.

Going ahead to step 7:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 2597.38
Subtract 104 from 110 to 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.

Moving on to step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 2597.384
The remainder is 8 after subtracting 52 from 60.
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 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 2597.3846
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.

On to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 2597.38461
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.

Advancing to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 2597.384615
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 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 2597.3846153
The remainder is 11 after subtracting 39 from 50.
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 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 2597.38461538
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.

The quotient of the division is 2597.38461538, and the remainder is 6e-09.