We divide 515634 by 84
We want to divide 515634 by 84.

Moving on to step 1:
84 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 84

Advancing to step 2:
When dividing 51 by 84, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 84

Going ahead to step 3:
The number 84 fits into 515 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 504 from 515 to get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 84

Step 4:
84 goes into 116 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
The remainder is 32 after subtracting 84 from 116.
Bring next digit (3) of the dividend behind the 32 and repeat the process: 323 / 84

Advancing to step 5:
If we divide 323 by 84, we get 3 and a remainder of 71.
Use 3 as the next digit of our solution. 
Result so far: 613.0
Subtracting 252 from 323 leaves us with 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 84

Let's proceed to step 6:
When dividing 714 by 84, we get 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 6138.0
The remainder is 42 after subtracting 672 from 714.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
84 can be fit into 420 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 6138.5
If we subtract 420 from 420, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 84, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6138.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 84, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6138.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6138.5, and the remainder is 0.0.