We're dividing 125538 by 4 
We're looking to find how many times 4 goes into 125538.

Step 1:
4 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 4

On to step 2:
If we divide 12 by 4, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 0 after subtracting 12 from 12.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 4

Going ahead to step 3:
4 can be fit into 5 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
Subtract 4 from 5 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

On to step 4:
15 divided by 4 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 313.0
The remainder is 3 after subtracting 12 from 15.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 4

Let's proceed to step 5:
33 divided by 4 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 3138.0
If we take 32 away from 33, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

On to step 6:
4 can be fit into 18 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 31384.0
If we take 16 away from 18, we end up 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 7:
4 goes into 20 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 31384.5
If we subtract 20 from 20, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
0 divided by 4 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 31384.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 31384.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 31384.5, and the remainder is 0.0.