We look at the division of 83662 by 34 
We want to figure out the number of times 83662 can be divided by 34.

Advancing to step 1:
34 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 34

Moving on to step 2:
34 can be fit into 83 2 times, resulting in a remainder of 15.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 68 from 83 leaves us with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 34

Going ahead to step 3:
The number 34 fits into 156 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 24.0
Subtracting 136 from 156 leaves us with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 34

Advancing to step 4:
34 goes into 206 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 246.0
Subtract 204 from 206 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 34

Let's proceed to step 5:
When dividing 22 by 34, we get 0 with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 2460.0
Subtract 0 from 22 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 6:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 2460.6
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
34 goes into 160 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 2460.64
Subtract 136 from 160 to get 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 8:
If we divide 240 by 34, we get 7 and a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 2460.647
Deduct 238 from 240 and we're left with 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 9:
When dividing 20 by 34, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2460.647
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 10:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2460.64705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
When dividing 300 by 34, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 2460.647058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
280 divided by 34 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2460.6470588
If we take 272 away from 280, we end up 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 final result is 2460.6470588 with a remainder of 8e-08.