We look at the division of 6546 by 42 
We want to figure out the number of times 6546 can be divided by 42.

Advancing to step 1:
42 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: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 42

Advancing to step 2:
If we divide 65 by 42, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we take 42 away from 65, we end up with 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 42

Step 3:
When dividing 234 by 42, we get 5 with a remainder of 24.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 210 from 234 and we're left with 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 42

On to step 4:
The number 42 fits into 246 5 times, leaving a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 155.0
Subtracting 210 from 246 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 5:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 155.8
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 6:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 155.85
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
When dividing 300 by 42, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 155.857
If we take 294 away from 300, we end up 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.

Step 8:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 155.8571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
When dividing 180 by 42, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 155.85714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 155.857142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
When dividing 360 by 42, we get 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 155.8571428
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 42 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 155.85714285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 155.85714285 with a balance of 3e-08.