3914 ÷ 84 
Our goal is to divide 3914 by 84.

Let's proceed to step 1:
84 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 84

Going ahead to step 2:
The number 84 fits into 39 0 times, leaving a remainder of 39.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Grab the next digit (1) from the dividend, add it to 39, then carry on: 391 / 84

Moving on to step 3:
The number 84 fits into 391 4 times, leaving a remainder of 55.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 55 after subtracting 336 from 391.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 84

Going ahead to step 4:
The number 84 fits into 554 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 50 after subtracting 504 from 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 5:
500 divided by 84 is 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 46.5
If we take 420 away from 500, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 6:
84 goes into 800 9 times with a remainder of 44.
The next digit of our result is 9. 
Result so far: 46.59
If we subtract 756 from 800, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
440 divided by 84 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 46.595
Subtracting 420 from 440 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 84, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 46.5952
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
84 goes into 320 3 times with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 46.59523
Deduct 252 from 320 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 10:
When dividing 680 by 84, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 46.595238
Subtract 672 from 680 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
84 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 46.595238
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 12:
84 goes into 800 9 times with a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 46.59523809
If we take 756 away from 800, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 46.59523809, and the remainder is 4.4e-08.