We're dividing 8101369 by 725 
We want to figure out the number of times 8101369 can be divided by 725.

On to step 1:
If we divide 8 by 725, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 725

Moving on to step 2:
If we divide 81 by 725, we get 0 and a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Append the next digit (0) from the dividend to 81 and continue with: 810 / 725

Moving on to step 3:
725 can be fit into 810 1 times, resulting in a remainder of 85.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 725 from 810 leaves us with 85.
Include the next digit (1) from the dividend after 85, then repeat: 851 / 725

Let's proceed to step 4:
725 goes into 851 1 times with a remainder of 126.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 725 from 851 leaves us with 126.
Append the next digit (3) from the dividend to 126 and continue with: 1263 / 725

Going ahead to step 5:
When dividing 1263 by 725, we get 1 with a remainder of 538.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 725 from 1263, we get 538.
Take the next digit (6) from the dividend and append it to 538, then repeat: 5386 / 725

Moving on to step 6:
When dividing 5386 by 725, we get 7 with a remainder of 311.
Record the quotient 7 as the next digit in the result. 
Result so far: 1117.0
Subtracting 5075 from 5386 leaves us with 311.
Append the next digit (9) from the dividend to 311 and continue with: 3119 / 725

On to step 7:
If we divide 3119 by 725, we get 4 and a remainder of 219.
Write down 4 as next digit of the result. 
Result so far: 11174.0
Subtracting 2900 from 3119 leaves us with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

On to step 8:
When dividing 2190 by 725, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 11174.3
Subtracting 2175 from 2190 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
150 divided by 725 is 0 with a remainder of 150.
Put 0 as the next digit of the answer. 
Result so far: 11174.3
Subtracting 0 from 150 leaves us with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Going ahead to step 10:
725 goes into 1500 2 times with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 11174.302
If we subtract 1450 from 1500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
725 can be fit into 500 0 times, resulting in a remainder of 500.
Record the quotient 0 as the next digit in the result. 
Result so far: 11174.302
The remainder is 500 after subtracting 0 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Going ahead to step 12:
The number 725 fits into 5000 6 times, leaving a remainder of 650.
Record the quotient 6 as the next digit in the result. 
Result so far: 11174.30206
If we subtract 4350 from 5000, we get 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Step 13:
725 can be fit into 6500 8 times, resulting in a remainder of 700.
Write down 8 as next digit of the result. 
Result so far: 11174.302068
If we subtract 5800 from 6500, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Step 14:
725 can be fit into 7000 9 times, resulting in a remainder of 475.
Record the quotient 9 as the next digit in the result. 
Result so far: 11174.3020689
Subtract 6525 from 7000 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Moving on to step 15:
725 can be fit into 4750 6 times, resulting in a remainder of 400.
Record the quotient 6 as the next digit in the result. 
Result so far: 11174.30206896
Deduct 4350 from 4750 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Our division results in 11174.30206896 with a remaining 4e-07.