125637 ÷ 38 
We want to figure out the number of times 125637 can be divided by 38.

On to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 38

Step 2:
When dividing 12 by 38, we get 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 38

Let's proceed to step 3:
38 can be fit into 125 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 114 from 125 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 38

Advancing to step 4:
116 divided by 38 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtracting 114 from 116 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 38

Going ahead to step 5:
When dividing 23 by 38, we get 0 with a remainder of 23.
The next digit of our result is 0. 
Result so far: 330.0
If we subtract 0 from 23, we get 23.
Fetch the next digit (7) from the dividend, attach it to 23 and continue: 237 / 38

Moving on to step 6:
When dividing 237 by 38, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 3306.0
Deduct 228 from 237 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
If we divide 90 by 38, we get 2 and a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 3306.2
Subtracting 76 from 90 leaves us 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 8:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 3306.23
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
260 divided by 38 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 3306.236
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
38 goes into 320 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 3306.2368
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.

Let's proceed to step 11:
160 divided by 38 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 3306.23684
If we subtract 152 from 160, we 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.

On to step 12:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 3306.236842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
38 goes into 40 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 3306.2368421
Deduct 38 from 40 and we're left 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 14:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3306.2368421
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.

The final result is 3306.2368421 with a remainder of 2e-08.