310829 ÷ 38 
We're looking to find how many times 38 goes into 310829.

Let's proceed to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 38

On to step 2:
When dividing 31 by 38, we get 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 38

Moving on to step 3:
If we divide 310 by 38, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 304 from 310 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 38

Moving on to step 4:
38 can be fit into 68 1 times, resulting in a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 81.0
If we take 38 away from 68, we end up with 30.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 38

Let's proceed to step 5:
302 divided by 38 is 7 with a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 817.0
Subtracting 266 from 302 leaves us with 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 38

Advancing to step 6:
369 divided by 38 is 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 8179.0
Subtract 342 from 369 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
The number 38 fits into 270 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 8179.7
Subtracting 266 from 270 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.

Going ahead to step 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 8179.71
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8179.71
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
38 goes into 200 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8179.7105
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
When dividing 100 by 38, we get 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 8179.71052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 38 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 8179.710526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
If we divide 120 by 38, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 8179.7105263
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.

Advancing to step 14:
When dividing 60 by 38, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 8179.71052631
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.

In conclusion, the division gives 8179.71052631 with a balance of 2.2e-08.