We look at the division of 125274 by 38 
We want to figure out the number of times 125274 can be divided by 38.

Advancing to step 1:
The number 38 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 38

Moving on to step 2:
38 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 38

Advancing to step 3:
If we divide 125 by 38, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 114 from 125 and we're left with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 38

Step 4:
When dividing 112 by 38, we get 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
The remainder is 36 after subtracting 76 from 112.
Grab the next digit (7) from the dividend, add it to 36, then carry on: 367 / 38

Advancing to step 5:
38 goes into 367 9 times with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 329.0
If we subtract 342 from 367, we get 25.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 38

Moving on to step 6:
254 divided by 38 is 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 3296.0
Subtracting 228 from 254 leaves us 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 7:
38 goes into 260 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 3296.6
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 8:
When dividing 320 by 38, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 3296.68
Deduct 304 from 320 and we're left 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.

Moving on to step 9:
When dividing 160 by 38, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 3296.684
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 3296.6842
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
38 goes into 40 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 3296.68421
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.

Going ahead to step 12:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 3296.68421
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.

On to step 13:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 3296.6842105
Subtracting 190 from 200 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 14:
38 goes into 100 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 3296.68421052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 3296.68421052, and the remainder is 2.4e-08.