We look at the division of 406501 by 7 
We want to figure out the number of times 406501 can be divided by 7.

Let's proceed to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 7

Going ahead to step 2:
When dividing 40 by 7, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 35 from 40 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 7

Advancing to step 3:
7 can be fit into 56 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
If we subtract 56 from 56, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 7

Let's proceed to step 4:
7 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 580.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 7

Moving on to step 5:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 5807.0
Subtract 49 from 50 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 7

Let's proceed to step 6:
11 divided by 7 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 58071.0
Deduct 7 from 11 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 58071.5
Subtracting 35 from 40 leaves us 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.

Let's proceed to step 8:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 58071.57
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 58071.571
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 58071.5714
If we subtract 28 from 30, we 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.

On to step 11:
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: 58071.57142
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.

Moving on to step 12:
7 goes into 60 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 58071.571428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 58071.5714285
Subtract 35 from 40 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 58071.57142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 58071.57142857 with a balance of 1e-09.