We're dividing 515645 by 84 
We want to figure out the number of times 515645 can be divided by 84.

Advancing to step 1:
5 divided by 84 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 84

On to step 2:
84 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (5) from the dividend after 51, then repeat: 515 / 84

Let's proceed to step 3:
If we divide 515 by 84, we get 6 and a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 504 away from 515, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 84

Let's proceed to step 4:
116 divided by 84 is 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
The remainder is 32 after subtracting 84 from 116.
Take the next digit (4) from the dividend and append it to 32, then repeat: 324 / 84

Let's proceed to step 5:
The number 84 fits into 324 3 times, leaving a remainder of 72.
Use 3 as the next digit of our solution. 
Result so far: 613.0
If we take 252 away from 324, we end up with 72.
Grab the next digit (5) from the dividend, add it to 72, then carry on: 725 / 84

Advancing to step 6:
If we divide 725 by 84, we get 8 and a remainder of 53.
The next digit of our result is 8. 
Result so far: 6138.0
Deduct 672 from 725 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 7:
84 can be fit into 530 6 times, resulting in a remainder of 26.
The next digit of our result is 6. 
Result so far: 6138.6
If we subtract 504 from 530, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
If we divide 260 by 84, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 6138.63
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 84 fits into 80 0 times, leaving a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6138.63
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.

Step 10:
84 goes into 800 9 times with a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 6138.6309
If we subtract 756 from 800, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 11:
When dividing 440 by 84, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 6138.63095
Deduct 420 from 440 and we're left with 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 12:
If we divide 200 by 84, we get 2 and a remainder of 32.
The next digit of our result is 2. 
Result so far: 6138.630952
Deduct 168 from 200 and we're left 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.

On to step 13:
The number 84 fits into 320 3 times, leaving a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 6138.6309523
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 14:
When dividing 680 by 84, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 6138.63095238
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.

In conclusion, the division gives 6138.63095238 with a balance of 8e-09.