3730 ÷ 82 
Our goal is to divide 3730 by 82.

Going ahead to step 1:
82 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 82

On to step 2:
37 divided by 82 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 82

Step 3:
If we divide 373 by 82, we get 4 and a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 45 after subtracting 328 from 373.
Take the next digit (0) from the dividend and append it to 45, then repeat: 450 / 82

On to step 4:
82 goes into 450 5 times with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtract 410 from 450 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 5:
The number 82 fits into 400 4 times, leaving a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 45.4
Subtracting 328 from 400 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 6:
If we divide 720 by 82, we get 8 and a remainder of 64.
The next digit of our result is 8. 
Result so far: 45.48
Deduct 656 from 720 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 7:
The number 82 fits into 640 7 times, leaving a remainder of 66.
Use 7 as the next digit of our solution. 
Result so far: 45.487
If we take 574 away from 640, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 8:
The number 82 fits into 660 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 45.4878
If we take 656 away from 660, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
If we divide 40 by 82, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 45.4878
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
400 divided by 82 is 4 with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 45.487804
Subtract 328 from 400 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
82 goes into 720 8 times with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 45.4878048
The remainder is 64 after subtracting 656 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
82 goes into 640 7 times with a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 45.48780487
Subtracting 574 from 640 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 45.48780487 with a balance of 6.6e-08.