We look at the division of 437878 by 84 
We're looking to find how many times 84 goes into 437878.

Step 1:
If we divide 4 by 84, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 84

Moving on to step 2:
84 can be fit into 43 0 times, resulting in a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 84

Advancing to step 3:
When dividing 437 by 84, we get 5 with a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 420 away from 437, we end up with 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 84

Moving on to step 4:
If we divide 178 by 84, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 52.0
The remainder is 10 after subtracting 168 from 178.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 84

Step 5:
84 goes into 107 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 521.0
The remainder is 23 after subtracting 84 from 107.
Take the next digit (8) from the dividend and append it to 23, then repeat: 238 / 84

Step 6:
84 goes into 238 2 times with a remainder of 70.
The number 2 becomes the next digit in our result. 
Result so far: 5212.0
If we subtract 168 from 238, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
84 can be fit into 700 8 times, resulting in a remainder of 28.
The next digit of our result is 8. 
Result so far: 5212.8
If we take 672 away from 700, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
84 goes into 280 3 times with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 5212.83
The remainder is 28 after subtracting 252 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
84 goes into 280 3 times with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 5212.833
The remainder is 28 after subtracting 252 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 5212.833, and the remainder is 0.0028.