We're dividing 333172 by 13 
Our goal is to divide 333172 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
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 13

Moving on to step 2:
The number 13 fits into 33 2 times, leaving a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 26 from 33 to get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 13

Advancing to step 3:
13 goes into 73 5 times with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtracting 65 from 73 leaves us with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 13

Step 4:
13 can be fit into 81 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 256.0
Deduct 78 from 81 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Going ahead to step 5:
The number 13 fits into 37 2 times, leaving a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2562.0
Subtracting 26 from 37 leaves us with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 13

On to step 6:
112 divided by 13 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 25628.0
Subtracting 104 from 112 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.

Going ahead to step 7:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 25628.6
Subtract 78 from 80 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.

On to step 8:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 25628.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 25628.615
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.

On to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 25628.6153
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.

Advancing to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 25628.61538
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.

Going ahead to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 25628.615384
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.

Moving on to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 25628.6153846
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.

Let's proceed to step 14:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 25628.61538461
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.

The quotient of the division is 25628.61538461, and the remainder is 7e-09.