517441 ÷ 84 
We want to figure out the number of times 517441 can be divided by 84.

Let's proceed to step 1:
The number 84 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 84

Going ahead to step 2:
84 can be fit into 51 0 times, resulting in a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 84

On to step 3:
When dividing 517 by 84, we get 6 with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 504 away from 517, we end up with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 84

Let's proceed to step 4:
If we divide 134 by 84, we get 1 and a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtract 84 from 134 to get 50.
Include the next digit (4) from the dividend after 50, then repeat: 504 / 84

Advancing to step 5:
The number 84 fits into 504 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 616.0
Subtracting 504 from 504 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 84

On to step 6:
1 divided by 84 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 6160.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 84 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6160.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 84, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 6160.01
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
84 goes into 160 1 times with a remainder of 76.
The next digit of our result is 1. 
Result so far: 6160.011
Subtracting 84 from 160 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 6160.011 with a remainder of 0.0076.