86825 ÷ 74 
We want to divide 86825 by 74.

Going ahead to step 1:
8 divided by 74 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 74

Going ahead to step 2:
74 can be fit into 86 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 74 from 86 leaves us with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 74

On to step 3:
The number 74 fits into 128 1 times, leaving a remainder of 54.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 74 from 128 and we're left with 54.
Append the next digit (2) from the dividend to 54 and continue with: 542 / 74

Let's proceed to step 4:
542 divided by 74 is 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 117.0
Subtract 518 from 542 to get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 74

Step 5:
245 divided by 74 is 3 with a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 1173.0
If we subtract 222 from 245, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 6:
The number 74 fits into 230 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 1173.3
Subtract 222 from 230 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.

Advancing to step 7:
80 divided by 74 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1173.31
The remainder is 6 after subtracting 74 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
When dividing 60 by 74, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1173.31
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
When dividing 600 by 74, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 1173.3108
If we take 592 away from 600, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
80 divided by 74 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1173.31081
Deduct 74 from 80 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 11:
74 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 1173.31081
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
The number 74 fits into 600 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 1173.3108108
Subtracting 592 from 600 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
74 goes into 80 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1173.31081081
The remainder is 6 after subtracting 74 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 1173.31081081 with a balance of 6e-09.