We're dividing 83819 by 51 
We want to figure out the number of times 83819 can be divided by 51.

Let's proceed to step 1:
51 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 51

Going ahead to step 2:
When dividing 83 by 51, we get 1 with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 51 from 83 and we're left with 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 51

Going ahead to step 3:
When dividing 328 by 51, we get 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 16.0
The remainder is 22 after subtracting 306 from 328.
Bring next digit (1) of the dividend behind the 22 and repeat the process: 221 / 51

Let's proceed to step 4:
51 can be fit into 221 4 times, resulting in a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
The remainder is 17 after subtracting 204 from 221.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 51

Advancing to step 5:
179 divided by 51 is 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 1643.0
Subtract 153 from 179 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 6:
260 divided by 51 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1643.5
If we take 255 away from 260, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 51 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1643.5
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
51 can be fit into 500 9 times, resulting in a remainder of 41.
The next digit of our result is 9. 
Result so far: 1643.509
The remainder is 41 after subtracting 459 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 9:
When dividing 410 by 51, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1643.5098
Subtract 408 from 410 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 51 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1643.5098
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
If we divide 200 by 51, we get 3 and a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 1643.509803
If we take 153 away from 200, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 12:
If we divide 470 by 51, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 1643.5098039
The remainder is 11 after subtracting 459 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
51 goes into 110 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 1643.50980392
Deduct 102 from 110 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 1643.50980392, and the remainder is 8e-09.