51897 ÷ 84 
We want to figure out the number of times 51897 can be divided by 84.

Step 1:
5 divided by 84 is 0 with 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.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 84

Let's proceed to step 2:
51 divided by 84 is 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 84

On to step 3:
84 can be fit into 518 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 504 from 518 leaves us with 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 84

Step 4:
149 divided by 84 is 1 with a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 61.0
The remainder is 65 after subtracting 84 from 149.
Append the next digit (7) from the dividend to 65 and continue with: 657 / 84

Advancing to step 5:
657 divided by 84 is 7 with a remainder of 69.
The next digit of our result is 7. 
Result so far: 617.0
Deduct 588 from 657 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 6:
The number 84 fits into 690 8 times, leaving a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 617.8
The remainder is 18 after subtracting 672 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
84 can be fit into 180 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 617.82
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
When dividing 120 by 84, we get 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 617.821
If we take 84 away from 120, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
If we divide 360 by 84, we get 4 and a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 617.8214
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
When dividing 240 by 84, we get 2 with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 617.82142
The remainder is 72 after subtracting 168 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
The number 84 fits into 720 8 times, leaving a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 617.821428
If we take 672 away from 720, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 12:
84 can be fit into 480 5 times, resulting in a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 617.8214285
Deduct 420 from 480 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 13:
If we divide 600 by 84, we get 7 and a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.82142857
If we subtract 588 from 600, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 617.82142857, with a leftover of 1.2e-08.