507125 divided by 84 
We're looking to find how many times 84 goes into 507125.

Going ahead to step 1:
5 divided by 84 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 84

Moving on to step 2:
84 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Include the next digit (7) from the dividend after 50, then repeat: 507 / 84

On to step 3:
507 divided by 84 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 504 from 507 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 84

Moving on to step 4:
31 divided by 84 is 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtract 0 from 31 to get 31.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 84

Advancing to step 5:
84 goes into 312 3 times with a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 603.0
Subtract 252 from 312 to get 60.
Include the next digit (5) from the dividend after 60, then repeat: 605 / 84

Let's proceed to step 6:
84 goes into 605 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 6037.0
If we take 588 away from 605, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
170 divided by 84 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 6037.2
Deduct 168 from 170 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.

Step 8:
The number 84 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 6037.2
If we take 0 away from 20, we end up 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.

On to step 9:
200 divided by 84 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 6037.202
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
320 divided by 84 is 3 with a remainder of 68.
The next digit of our result is 3. 
Result so far: 6037.2023
If we take 252 away from 320, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
680 divided by 84 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 6037.20238
If we subtract 672 from 680, we 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 12:
The number 84 fits into 80 0 times, leaving a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6037.20238
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
When dividing 800 by 84, we get 9 with a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 6037.2023809
If we take 756 away from 800, we end up 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.

Let's proceed to step 14:
440 divided by 84 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 6037.20238095
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.

The quotient of the division is 6037.20238095, and the remainder is 2e-08.