We look at the division of 79258 by 38 
Our goal is to divide 79258 by 38.

Advancing to step 1:
If we divide 7 by 38, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 38

Advancing to step 2:
The number 38 fits into 79 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 76 away from 79, we end up with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 38

On to step 3:
If we divide 32 by 38, we get 0 and a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtract 0 from 32 to get 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 38

On to step 4:
When dividing 325 by 38, we get 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 208.0
Subtracting 304 from 325 leaves us with 21.
Take the next digit (8) from the dividend and append it to 21, then repeat: 218 / 38

Step 5:
218 divided by 38 is 5 with a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 2085.0
If we subtract 190 from 218, we 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.

Step 6:
280 divided by 38 is 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 2085.7
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
38 goes into 140 3 times with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 2085.73
If we take 114 away from 140, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
The number 38 fits into 260 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2085.736
Subtracting 228 from 260 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 2085.7368
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
38 goes into 160 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 2085.73684
Subtract 152 from 160 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.

Moving on to step 11:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2085.736842
Subtracting 76 from 80 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.

Moving on to step 12:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 2085.7368421
Subtracting 38 from 40 leaves us with 2.
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 13:
If we divide 20 by 38, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 2085.7368421
Subtracting 0 from 20 leaves us 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.

The quotient of the division is 2085.7368421, and the remainder is 2e-08.