We divide 13400414 by 872
Our goal is to divide 13400414 by 872.

On to step 1:
When dividing 1 by 872, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 872

On to step 2:
13 divided by 872 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 872

Going ahead to step 3:
872 goes into 134 0 times with a remainder of 134.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 134 after subtracting 0 from 134.
Take the next digit (0) from the dividend and append it to 134, then repeat: 1340 / 872

Moving on to step 4:
872 goes into 1340 1 times with a remainder of 468.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 468 after subtracting 872 from 1340.
Take the next digit (0) from the dividend and append it to 468, then repeat: 4680 / 872

Step 5:
4680 divided by 872 is 5 with a remainder of 320.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 4360 away from 4680, we end up with 320.
Take the next digit (4) from the dividend and append it to 320, then repeat: 3204 / 872

Advancing to step 6:
872 goes into 3204 3 times with a remainder of 588.
Use 3 as the next digit of our solution. 
Result so far: 153.0
If we take 2616 away from 3204, we end up with 588.
Grab the next digit (1) from the dividend, add it to 588, then carry on: 5881 / 872

On to step 7:
The number 872 fits into 5881 6 times, leaving a remainder of 649.
Record the quotient 6 as the next digit in the result. 
Result so far: 1536.0
Subtract 5232 from 5881 to get 649.
Append the next digit (4) from the dividend to 649 and continue with: 6494 / 872

Moving on to step 8:
6494 divided by 872 is 7 with a remainder of 390.
Use 7 as the next digit of our solution. 
Result so far: 15367.0
Subtracting 6104 from 6494 leaves us with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Step 9:
If we divide 3900 by 872, we get 4 and a remainder of 412.
The number 4 becomes the next digit in our result. 
Result so far: 15367.4
If we take 3488 away from 3900, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Moving on to step 10:
872 goes into 4120 4 times with a remainder of 632.
Put 4 as the next digit of the answer. 
Result so far: 15367.44
If we take 3488 away from 4120, we end up with 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

After the division, we end up with 15367.44 and a remainder of 0.632.