We look at the division of 6742 by 7 
Let's see how many times 7 fits into 6742.

Let's proceed to step 1:
7 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 7

Going ahead to step 2:
7 goes into 67 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 63 from 67 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 7

Step 3:
44 divided by 7 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtract 42 from 44 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Let's proceed to step 4:
The number 7 fits into 22 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 963.0
The remainder is 1 after subtracting 21 from 22.
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 5:
When dividing 10 by 7, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 963.1
The remainder is 3 after subtracting 7 from 10.
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 6:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 963.14
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 963.142
If we subtract 14 from 20, we 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.

Step 8:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 963.1428
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 9:
7 goes into 40 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 963.14285
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.

On to step 10:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 963.142857
If we take 49 away from 50, we end up 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.

Going ahead to step 11:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 963.1428571
Subtract 7 from 10 to 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.

Moving on to step 12:
30 divided by 7 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 963.14285714
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.

In conclusion, the division gives 963.14285714 with a balance of 2e-09.