416566 ÷ 7 
Let's see how many times 7 fits into 416566.

On to step 1:
4 divided by 7 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Moving on to step 2:
7 can be fit into 41 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 6 after subtracting 35 from 41.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Advancing to step 3:
If we divide 66 by 7, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 59.0
Subtracting 63 from 66 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 7

Let's proceed to step 4:
7 goes into 35 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 595.0
Subtracting 35 from 35 leaves us with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 7

On to step 5:
7 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 5950.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 7

Step 6:
When dividing 66 by 7, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 59509.0
Deduct 63 from 66 and we're left 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.

Moving on to step 7:
When dividing 30 by 7, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 59509.4
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
7 goes into 20 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 59509.42
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 59509.428
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 59509.4285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 59509.42857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 59509.428571
Subtracting 7 from 10 leaves us 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.

Let's proceed to step 13:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 59509.4285714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 59509.42857142
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 59509.42857142 and a remainder of 6e-09.