Let's divide 86626 by 38
We're looking to find how many times 38 goes into 86626.

Going ahead to step 1:
When dividing 8 by 38, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 38

On to step 2:
38 can be fit into 86 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 76 from 86 to get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 38

Moving on to step 3:
When dividing 106 by 38, we get 2 with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 76 from 106 and we're left with 30.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 38

Let's proceed to step 4:
When dividing 302 by 38, we get 7 with a remainder of 36.
The next digit of our result is 7. 
Result so far: 227.0
Deduct 266 from 302 and we're left with 36.
Append the next digit (6) from the dividend to 36 and continue with: 366 / 38

Step 5:
38 can be fit into 366 9 times, resulting in a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 2279.0
The remainder is 24 after subtracting 342 from 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 6:
When dividing 240 by 38, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 2279.6
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
38 goes into 120 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 2279.63
If we take 114 away from 120, we end up 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.

Moving on to step 8:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 2279.631
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
38 goes into 220 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 2279.6315
Deduct 190 from 220 and we're left with 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 10:
38 goes into 300 7 times with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 2279.63157
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
If we divide 340 by 38, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 2279.631578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The next digit of our result is 9. 
Result so far: 2279.6315789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
38 goes into 180 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 2279.63157894
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 2279.63157894 and a remainder of 2.8e-08.