We're dividing 501032 by 84 
We want to figure out the number of times 501032 can be divided by 84.

Going ahead to step 1:
If we divide 5 by 84, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 84

On to step 2:
When dividing 50 by 84, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Include the next digit (1) from the dividend after 50, then repeat: 501 / 84

On to step 3:
84 goes into 501 5 times with a remainder of 81.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 420 away from 501, we end up with 81.
Append the next digit (0) from the dividend to 81 and continue with: 810 / 84

Advancing to step 4:
The number 84 fits into 810 9 times, leaving a remainder of 54.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Deduct 756 from 810 and we're left with 54.
Include the next digit (3) from the dividend after 54, then repeat: 543 / 84

Advancing to step 5:
84 goes into 543 6 times with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 596.0
If we subtract 504 from 543, we get 39.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 84

Going ahead to step 6:
392 divided by 84 is 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 5964.0
If we take 336 away from 392, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
560 divided by 84 is 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 5964.6
Subtract 504 from 560 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
84 can be fit into 560 6 times, resulting in a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 5964.66
Subtracting 504 from 560 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The quotient of the division is 5964.66, and the remainder is 0.056.