We're dividing 152264 by 41 
We're looking to find how many times 41 goes into 152264.

Step 1:
1 divided by 41 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 41

Advancing to step 2:
The number 41 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Append the next digit (2) from the dividend to 15 and continue with: 152 / 41

Advancing to step 3:
If we divide 152 by 41, we get 3 and a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 29 after subtracting 123 from 152.
Append the next digit (2) from the dividend to 29 and continue with: 292 / 41

Let's proceed to step 4:
41 goes into 292 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Deduct 287 from 292 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 41

Moving on to step 5:
When dividing 56 by 41, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 371.0
Subtracting 41 from 56 leaves us with 15.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 41

Going ahead to step 6:
154 divided by 41 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 3713.0
The remainder is 31 after subtracting 123 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
310 divided by 41 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 3713.7
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
41 goes into 230 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3713.75
If we take 205 away from 230, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
If we divide 250 by 41, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 3713.756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 41, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 3713.756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
41 goes into 400 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 3713.75609
If we take 369 away from 400, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
310 divided by 41 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 3713.756097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
If we divide 230 by 41, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3713.7560975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
When dividing 250 by 41, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3713.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 3713.75609756 and a remainder of 4e-09.