We look at the division of 82577 by 74 
Our goal is to divide 82577 by 74.

Let's proceed to step 1:
If we divide 8 by 74, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 74

Step 2:
82 divided by 74 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 74 from 82 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 74

On to step 3:
When dividing 85 by 74, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 74 away from 85, we end up with 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 74

Step 4:
If we divide 117 by 74, we get 1 and a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 74 from 117, we get 43.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 74

Going ahead to step 5:
74 goes into 437 5 times with a remainder of 67.
Write down 5 as next digit of the result. 
Result so far: 1115.0
Deduct 370 from 437 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 6:
670 divided by 74 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1115.9
Deduct 666 from 670 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
74 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 1115.9
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
The number 74 fits into 400 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 1115.905
If we subtract 370 from 400, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 74, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 1115.9054
Subtract 296 from 300 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
The number 74 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1115.9054
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
If we divide 400 by 74, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 1115.905405
Subtract 370 from 400 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
When dividing 300 by 74, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1115.9054054
Subtracting 296 from 300 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
74 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1115.9054054
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 1115.9054054 with a remaining 4e-08.