We look at the division of 150906 by 25 
Our goal is to divide 150906 by 25.

Step 1:
1 divided by 25 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 25

On to step 2:
If we divide 15 by 25, we get 0 and a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 25

Let's proceed to step 3:
If we divide 150 by 25, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 0 after subtracting 150 from 150.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 25

Going ahead to step 4:
The number 25 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 60.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 25

Let's proceed to step 5:
90 divided by 25 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 603.0
If we take 75 away from 90, we end up with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 25

Let's proceed to step 6:
The number 25 fits into 156 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 6036.0
If we take 150 away from 156, we end up with 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 7:
25 goes into 60 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 6036.2
Subtracting 50 from 60 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.

Moving on to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 6036.24
Subtracting 100 from 100 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.

Going ahead to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6036.24
Deduct 0 from 0 and we're left 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.

Advancing to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6036.24
Deduct 0 from 0 and we're left 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 final result is 6036.24 with a remainder of 0.0.