We look at the division of 86138022 by 825 
Our goal is to divide 86138022 by 825.

Step 1:
8 divided by 825 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 825

Moving on to step 2:
If we divide 86 by 825, we get 0 and a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 86 leaves us with 86.
Bring next digit (1) of the dividend behind the 86 and repeat the process: 861 / 825

Let's proceed to step 3:
The number 825 fits into 861 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 825 away from 861, we end up with 36.
Grab the next digit (3) from the dividend, add it to 36, then carry on: 363 / 825

Let's proceed to step 4:
When dividing 363 by 825, we get 0 with a remainder of 363.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 363, we get 363.
Bring next digit (8) of the dividend behind the 363 and repeat the process: 3638 / 825

Let's proceed to step 5:
825 can be fit into 3638 4 times, resulting in a remainder of 338.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtract 3300 from 3638 to get 338.
Bring next digit (0) of the dividend behind the 338 and repeat the process: 3380 / 825

On to step 6:
When dividing 3380 by 825, we get 4 with a remainder of 80.
Record the quotient 4 as the next digit in the result. 
Result so far: 1044.0
If we subtract 3300 from 3380, we get 80.
Take the next digit (2) from the dividend and append it to 80, then repeat: 802 / 825

On to step 7:
825 goes into 802 0 times with a remainder of 802.
Record the quotient 0 as the next digit in the result. 
Result so far: 10440.0
The remainder is 802 after subtracting 0 from 802.
Grab the next digit (2) from the dividend, add it to 802, then carry on: 8022 / 825

Advancing to step 8:
8022 divided by 825 is 9 with a remainder of 597.
Use 9 as the next digit of our solution. 
Result so far: 104409.0
If we take 7425 away from 8022, we end up with 597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5970, and continue the process.

Let's proceed to step 9:
If we divide 5970 by 825, we get 7 and a remainder of 195.
Write down 7 as next digit of the result. 
Result so far: 104409.7
If we subtract 5775 from 5970, we get 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Let's proceed to step 10:
825 can be fit into 1950 2 times, resulting in a remainder of 300.
Record the quotient 2 as the next digit in the result. 
Result so far: 104409.72
If we take 1650 away from 1950, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Let's proceed to step 11:
3000 divided by 825 is 3 with a remainder of 525.
The next digit of our result is 3. 
Result so far: 104409.723
If we subtract 2475 from 3000, we get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Step 12:
825 goes into 5250 6 times with a remainder of 300.
Record the quotient 6 as the next digit in the result. 
Result so far: 104409.7236
If we take 4950 away from 5250, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Moving on to step 13:
825 goes into 3000 3 times with a remainder of 525.
Write down 3 as next digit of the result. 
Result so far: 104409.72363
Subtracting 2475 from 3000 leaves us with 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Advancing to step 14:
If we divide 5250 by 825, we get 6 and a remainder of 300.
The number 6 becomes the next digit in our result. 
Result so far: 104409.723636
The remainder is 300 after subtracting 4950 from 5250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Advancing to step 15:
If we divide 3000 by 825, we get 3 and a remainder of 525.
The next digit of our result is 3. 
Result so far: 104409.7236363
Subtract 2475 from 3000 to get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Going ahead to step 16:
825 goes into 5250 6 times with a remainder of 300.
Record the quotient 6 as the next digit in the result. 
Result so far: 104409.72363636
Subtracting 4950 from 5250 leaves us with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

The quotient of the division is 104409.72363636, and the remainder is 3e-07.