420770 ÷ 84 
We're looking to find how many times 84 goes into 420770.

Moving on to step 1:
When dividing 4 by 84, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 84

Step 2:
The number 84 fits into 42 0 times, leaving a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 84

Advancing to step 3:
The number 84 fits into 420 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 420 from 420 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 84

On to step 4:
84 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 50.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 84

Advancing to step 5:
84 can be fit into 77 0 times, resulting in a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 500.0
If we subtract 0 from 77, we get 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 84

Going ahead to step 6:
84 goes into 770 9 times with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 5009.0
If we subtract 756 from 770, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 84 is 1 with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 5009.1
Deduct 84 from 140 and we're left 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.

Moving on to step 8:
84 goes into 560 6 times with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 5009.16
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.

On to step 9:
84 goes into 560 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 5009.166
The remainder is 56 after subtracting 504 from 560.
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 5009.166, and the remainder is 0.0056.