Let's divide 654125 by 41
We want to divide 654125 by 41.

Step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 41

Advancing to step 2:
41 can be fit into 65 1 times, resulting in a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 24 after subtracting 41 from 65.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 41

Moving on to step 3:
41 can be fit into 244 5 times, resulting in a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 39 after subtracting 205 from 244.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 41

Advancing to step 4:
41 goes into 391 9 times with a remainder of 22.
The next digit of our result is 9. 
Result so far: 159.0
The remainder is 22 after subtracting 369 from 391.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 41

Advancing to step 5:
41 goes into 222 5 times with a remainder of 17.
The next digit of our result is 5. 
Result so far: 1595.0
The remainder is 17 after subtracting 205 from 222.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 41

Going ahead to step 6:
41 can be fit into 175 4 times, resulting in a remainder of 11.
The next digit of our result is 4. 
Result so far: 15954.0
Deduct 164 from 175 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
If we divide 110 by 41, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 15954.2
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
When dividing 280 by 41, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 15954.26
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
If we divide 340 by 41, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 15954.268
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 41, we get 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 15954.2682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 15954.26829
Subtracting 369 from 380 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
When dividing 110 by 41, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 15954.268292
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
When dividing 280 by 41, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 15954.2682926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
41 goes into 340 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 15954.26829268
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 15954.26829268 with a remainder of 1.2e-08.