We're dividing 151975 by 41 
We want to figure out the number of times 151975 can be divided by 41.

Advancing to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 41

Step 2:
If we divide 15 by 41, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 41

Step 3:
151 divided by 41 is 3 with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 28 after subtracting 123 from 151.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 41

Moving on to step 4:
41 goes into 289 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 287 from 289, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 41

Advancing to step 5:
The number 41 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 370.0
If we take 0 away from 27, we end up with 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 41

Step 6:
If we divide 275 by 41, we get 6 and a remainder of 29.
The next digit of our result is 6. 
Result so far: 3706.0
If we subtract 246 from 275, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
290 divided by 41 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 3706.7
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
30 divided by 41 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 3706.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 41, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 3706.707
Subtract 287 from 300 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
If we divide 130 by 41, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3706.7073
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
The number 41 fits into 70 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 3706.70731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
When dividing 290 by 41, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 3706.707317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3706.707317
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 14:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 3706.70731707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 3706.70731707 with a remainder of 1.3e-08.