We look at the division of 642723 by 7 
We want to divide 642723 by 7.

Advancing to step 1:
6 divided by 7 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 7

On to step 2:
64 divided by 7 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 63 away from 64, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 7

Let's proceed to step 3:
7 goes into 12 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 91.0
Subtract 7 from 12 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 7

Advancing to step 4:
The number 7 fits into 57 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 918.0
Subtracting 56 from 57 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 7

Let's proceed to step 5:
The number 7 fits into 12 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 9181.0
Deduct 7 from 12 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Let's proceed to step 6:
7 goes into 53 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 91817.0
Subtract 49 from 53 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.

Let's proceed to step 7:
If we divide 40 by 7, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 91817.5
Deduct 35 from 40 and we're left 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 8:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 91817.57
Deduct 49 from 50 and we're left 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.

Advancing to step 9:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 91817.571
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.

Going ahead to step 10:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 91817.5714
If we take 28 away from 30, we end up 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.

On to step 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 91817.57142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 91817.571428
If we subtract 56 from 60, we 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.

On to step 13:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 91817.5714285
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.

Step 14:
50 divided by 7 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 91817.57142857
The remainder is 1 after subtracting 49 from 50.
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 91817.57142857 with a balance of 1e-09.