Let's divide 276510 by 42
We want to figure out the number of times 276510 can be divided by 42.

On to step 1:
42 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 42

Step 2:
42 goes into 27 0 times with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 27, we end up with 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 42

Advancing to step 3:
276 divided by 42 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 252 from 276 and we're left with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 42

Moving on to step 4:
245 divided by 42 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 65.0
The remainder is 35 after subtracting 210 from 245.
Bring next digit (1) of the dividend behind the 35 and repeat the process: 351 / 42

Moving on to step 5:
351 divided by 42 is 8 with a remainder of 15.
The next digit of our result is 8. 
Result so far: 658.0
Subtract 336 from 351 to get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 42

On to step 6:
150 divided by 42 is 3 with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 6583.0
The remainder is 24 after subtracting 126 from 150.
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 7:
If we divide 240 by 42, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6583.5
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 6583.57
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.

On to step 9:
The number 42 fits into 60 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 6583.571
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.

Let's proceed to step 10:
42 goes into 180 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 6583.5714
The remainder is 12 after subtracting 168 from 180.
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 11:
120 divided by 42 is 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 6583.57142
If we subtract 84 from 120, we 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.

Let's proceed to step 12:
If we divide 360 by 42, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 6583.571428
Deduct 336 from 360 and we're left 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.

Step 13:
42 goes into 240 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 6583.5714285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 14:
When dividing 300 by 42, we get 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 6583.57142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 6583.57142857 with a balance of 6e-09.