We're dividing 429664 by 84 
Our goal is to divide 429664 by 84.

Let's proceed 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
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 84

Step 2:
84 can be fit into 42 0 times, resulting in a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 84

Advancing to step 3:
When dividing 429 by 84, we get 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 420 from 429 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 84

Going ahead to step 4:
When dividing 96 by 84, we get 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 51.0
The remainder is 12 after subtracting 84 from 96.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 84

On to step 5:
84 goes into 126 1 times with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 511.0
Subtract 84 from 126 to get 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 84

Going ahead to step 6:
84 can be fit into 424 5 times, resulting in a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5115.0
If we subtract 420 from 424, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 84, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 5115.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
84 can be fit into 400 4 times, resulting in a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 5115.04
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
If we divide 640 by 84, we get 7 and a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 5115.047
Deduct 588 from 640 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 10:
84 goes into 520 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5115.0476
Deduct 504 from 520 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
160 divided by 84 is 1 with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 5115.04761
If we subtract 84 from 160, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 12:
If we divide 760 by 84, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 5115.047619
If we take 756 away from 760, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
If we divide 40 by 84, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5115.047619
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
84 goes into 400 4 times with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 5115.04761904
The remainder is 64 after subtracting 336 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 5115.04761904, with a leftover of 6.4e-08.