515510 ÷ 84 
We want to divide 515510 by 84.

Advancing to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 84

On to step 2:
The number 84 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Append the next digit (5) from the dividend to 51 and continue with: 515 / 84

Going ahead to step 3:
If we divide 515 by 84, we get 6 and a remainder of 11.
The next digit of our result is 6. 
Result so far: 6.0
If we take 504 away from 515, we end up with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 84

Going ahead to step 4:
If we divide 115 by 84, we get 1 and a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we subtract 84 from 115, we get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 84

On to step 5:
84 goes into 311 3 times with a remainder of 59.
The next digit of our result is 3. 
Result so far: 613.0
Subtracting 252 from 311 leaves us with 59.
Include the next digit (0) from the dividend after 59, then repeat: 590 / 84

Moving on to step 6:
590 divided by 84 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 6137.0
Deduct 588 from 590 and we're left 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.

Let's proceed to step 7:
84 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 6137.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
84 goes into 200 2 times with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 6137.02
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
If we divide 320 by 84, we get 3 and a remainder of 68.
Put 3 as the next digit of the answer. 
Result so far: 6137.023
The remainder is 68 after subtracting 252 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 10:
If we divide 680 by 84, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6137.0238
Subtract 672 from 680 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
The number 84 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6137.0238
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 12:
84 goes into 800 9 times with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 6137.023809
Subtracting 756 from 800 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
The number 84 fits into 440 5 times, leaving a remainder of 20.
The next digit of our result is 5. 
Result so far: 6137.0238095
If we subtract 420 from 440, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
200 divided by 84 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 6137.02380952
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 6137.02380952, and the remainder is 3.2e-08.