Let's divide 76825 by 74
We're looking to find how many times 74 goes into 76825.

On to step 1:
When dividing 7 by 74, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 74

Step 2:
If we divide 76 by 74, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 74 away from 76, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 74

On to step 3:
The number 74 fits into 28 0 times, leaving a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 28 to get 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 74

Step 4:
If we divide 282 by 74, we get 3 and a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
If we take 222 away from 282, we end up with 60.
Bring next digit (5) of the dividend behind the 60 and repeat the process: 605 / 74

Step 5:
74 goes into 605 8 times with a remainder of 13.
The next digit of our result is 8. 
Result so far: 1038.0
Subtract 592 from 605 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
130 divided by 74 is 1 with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 1038.1
If we subtract 74 from 130, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
The number 74 fits into 560 7 times, leaving a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 1038.17
Subtracting 518 from 560 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
If we divide 420 by 74, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1038.175
Deduct 370 from 420 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 74 fits into 500 6 times, leaving a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 1038.1756
Deduct 444 from 500 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
74 can be fit into 560 7 times, resulting in a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 1038.17567
Deduct 518 from 560 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 11:
420 divided by 74 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1038.175675
If we take 370 away from 420, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 12:
The number 74 fits into 500 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 1038.1756756
Subtracting 444 from 500 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
560 divided by 74 is 7 with a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 1038.17567567
Subtract 518 from 560 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 1038.17567567, and the remainder is 4.2e-08.