41660689 ÷ 565 
Our goal is to divide 41660689 by 565.

Let's proceed to step 1:
If we divide 4 by 565, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 565

Step 2:
When dividing 41 by 565, we get 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 565

Let's proceed to step 3:
565 goes into 416 0 times with a remainder of 416.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 416 after subtracting 0 from 416.
Append the next digit (6) from the dividend to 416 and continue with: 4166 / 565

Going ahead to step 4:
If we divide 4166 by 565, we get 7 and a remainder of 211.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 211 after subtracting 3955 from 4166.
Include the next digit (0) from the dividend after 211, then repeat: 2110 / 565

Moving on to step 5:
2110 divided by 565 is 3 with a remainder of 415.
Write down 3 as next digit of the result. 
Result so far: 73.0
If we subtract 1695 from 2110, we get 415.
Append the next digit (6) from the dividend to 415 and continue with: 4156 / 565

Advancing to step 6:
If we divide 4156 by 565, we get 7 and a remainder of 201.
The number 7 becomes the next digit in our result. 
Result so far: 737.0
Subtract 3955 from 4156 to get 201.
Bring next digit (8) of the dividend behind the 201 and repeat the process: 2018 / 565

Moving on to step 7:
2018 divided by 565 is 3 with a remainder of 323.
The next digit of our result is 3. 
Result so far: 7373.0
Deduct 1695 from 2018 and we're left with 323.
Bring next digit (9) of the dividend behind the 323 and repeat the process: 3239 / 565

Moving on to step 8:
If we divide 3239 by 565, we get 5 and a remainder of 414.
Write down 5 as next digit of the result. 
Result so far: 73735.0
Subtract 2825 from 3239 to get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

On to step 9:
The number 565 fits into 4140 7 times, leaving a remainder of 185.
The next digit of our result is 7. 
Result so far: 73735.7
If we take 3955 away from 4140, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Going ahead to step 10:
If we divide 1850 by 565, we get 3 and a remainder of 155.
Record the quotient 3 as the next digit in the result. 
Result so far: 73735.73
The remainder is 155 after subtracting 1695 from 1850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Step 11:
If we divide 1550 by 565, we get 2 and a remainder of 420.
Put 2 as the next digit of the answer. 
Result so far: 73735.732
If we subtract 1130 from 1550, we get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

On to step 12:
The number 565 fits into 4200 7 times, leaving a remainder of 245.
The number 7 becomes the next digit in our result. 
Result so far: 73735.7327
Subtracting 3955 from 4200 leaves us with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Let's proceed to step 13:
565 goes into 2450 4 times with a remainder of 190.
Write down 4 as next digit of the result. 
Result so far: 73735.73274
Deduct 2260 from 2450 and we're left with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Advancing to step 14:
1900 divided by 565 is 3 with a remainder of 205.
The number 3 becomes the next digit in our result. 
Result so far: 73735.732743
If we subtract 1695 from 1900, we get 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

Let's proceed to step 15:
When dividing 2050 by 565, we get 3 with a remainder of 355.
Use 3 as the next digit of our solution. 
Result so far: 73735.7327433
Subtracting 1695 from 2050 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

After the division, we end up with 73735.7327433 and a remainder of 3.55e-06.