We look at the division of 86229 by 51 
Let's see how many times 51 fits into 86229.

On to step 1:
If we divide 8 by 51, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 51

Advancing to step 2:
When dividing 86 by 51, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 51 from 86 and we're left with 35.
Grab the next digit (2) from the dividend, add it to 35, then carry on: 352 / 51

Advancing to step 3:
The number 51 fits into 352 6 times, leaving a remainder of 46.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 306 from 352 to get 46.
Grab the next digit (2) from the dividend, add it to 46, then carry on: 462 / 51

On to step 4:
The number 51 fits into 462 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 169.0
Deduct 459 from 462 and we're left with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 51

On to step 5:
If we divide 39 by 51, we get 0 and a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 1690.0
Deduct 0 from 39 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 6:
The number 51 fits into 390 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 1690.7
Subtracting 357 from 390 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
51 can be fit into 330 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1690.76
If we take 306 away from 330, 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.

Going ahead to step 8:
51 can be fit into 240 4 times, resulting in a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 1690.764
Deduct 204 from 240 and we're left 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.

Advancing to step 9:
When dividing 360 by 51, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 1690.7647
If we take 357 away from 360, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
51 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1690.7647
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
300 divided by 51 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 1690.764705
If we take 255 away from 300, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 12:
450 divided by 51 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 1690.7647058
Subtracting 408 from 450 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
When dividing 420 by 51, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1690.76470588
The remainder is 12 after subtracting 408 from 420.
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 result is 1690.76470588 with a remainder of 1.2e-08.