We're dividing 113668 by 38 
We want to figure out the number of times 113668 can be divided by 38.

Advancing to step 1:
38 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 38

On to step 2:
11 divided by 38 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 38

On to step 3:
The number 38 fits into 113 2 times, leaving a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 37 after subtracting 76 from 113.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 38

Moving on to step 4:
If we divide 376 by 38, we get 9 and a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 29.0
If we subtract 342 from 376, we get 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 38

On to step 5:
When dividing 346 by 38, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 299.0
Deduct 342 from 346 and we're left with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 38

Step 6:
If we divide 48 by 38, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 2991.0
Subtracting 38 from 48 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
38 goes into 100 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2991.2
Deduct 76 from 100 and we're left 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.

Let's proceed to step 8:
The number 38 fits into 240 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 2991.26
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.

Moving on to step 9:
When dividing 120 by 38, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 2991.263
If we subtract 114 from 120, we get 6.
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 10:
When dividing 60 by 38, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 2991.2631
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.

Going ahead to step 11:
If we divide 220 by 38, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2991.26315
If we take 190 away from 220, we end up 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.

Let's proceed to step 12:
300 divided by 38 is 7 with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 2991.263157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 13:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 2991.2631578
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 14:
If we divide 360 by 38, we get 9 and a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 2991.26315789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 2991.26315789, and the remainder is 1.8e-08.