966569 divided by 41 
Our goal is to divide 966569 by 41.

Going ahead to step 1:
The number 41 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 41

Moving on to step 2:
The number 41 fits into 96 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 82 from 96 leaves us with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 41

Moving on to step 3:
146 divided by 41 is 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 23.0
Deduct 123 from 146 and we're left with 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 41

Step 4:
41 can be fit into 235 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 235.0
If we subtract 205 from 235, we get 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 41

On to step 5:
When dividing 306 by 41, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 2357.0
Subtracting 287 from 306 leaves us with 19.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 41

On to step 6:
If we divide 199 by 41, we get 4 and a remainder of 35.
Use 4 as the next digit of our solution. 
Result so far: 23574.0
Deduct 164 from 199 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
When dividing 350 by 41, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 23574.8
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 23574.85
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 23574.853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 10:
41 goes into 270 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 23574.8536
If we subtract 246 from 270, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
If we divide 240 by 41, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 23574.85365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
When dividing 350 by 41, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 23574.853658
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
41 goes into 220 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 23574.8536585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
When dividing 150 by 41, we get 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 23574.85365853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 23574.85365853 with a balance of 2.7e-08.