Let's divide 410174 by 13
Our goal is to divide 410174 by 13.

Moving on to step 1:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Let's proceed to step 2:
41 divided by 13 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 41, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 13

Going ahead to step 3:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 31.0
If we subtract 13 from 20, we get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Step 4:
13 goes into 71 5 times with a remainder of 6.
The next digit of our result is 5. 
Result so far: 315.0
Subtracting 65 from 71 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Step 5:
67 divided by 13 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 3155.0
The remainder is 2 after subtracting 65 from 67.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 13

Advancing to step 6:
When dividing 24 by 13, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 31551.0
Subtract 13 from 24 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.

On to step 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 31551.8
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.

Advancing to step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 31551.84
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.

On to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 31551.846
If we take 78 away from 80, we end up 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.

Moving on to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 31551.8461
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.

Let's proceed to step 11:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 31551.84615
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.

Moving on to step 12:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 31551.846153
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.

On to step 13:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 31551.8461538
Deduct 104 from 110 and we're left 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.

Let's proceed to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 31551.84615384
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.

Our division results in 31551.84615384 with a remaining 8e-09.