Let's divide 3946782 by 514
Our goal is to divide 3946782 by 514.

Step 1:
3 divided by 514 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 514

Moving on to step 2:
If we divide 39 by 514, we get 0 and a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 39 leaves us with 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 514

Going ahead to step 3:
When dividing 394 by 514, we get 0 with a remainder of 394.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 394 leaves us with 394.
Include the next digit (6) from the dividend after 394, then repeat: 3946 / 514

On to step 4:
When dividing 3946 by 514, we get 7 with a remainder of 348.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 3598 from 3946, we get 348.
Grab the next digit (7) from the dividend, add it to 348, then carry on: 3487 / 514

Step 5:
514 can be fit into 3487 6 times, resulting in a remainder of 403.
Use 6 as the next digit of our solution. 
Result so far: 76.0
The remainder is 403 after subtracting 3084 from 3487.
Include the next digit (8) from the dividend after 403, then repeat: 4038 / 514

Moving on to step 6:
4038 divided by 514 is 7 with a remainder of 440.
The next digit of our result is 7. 
Result so far: 767.0
The remainder is 440 after subtracting 3598 from 4038.
Fetch the next digit (2) from the dividend, attach it to 440 and continue: 4402 / 514

Let's proceed to step 7:
514 goes into 4402 8 times with a remainder of 290.
Write down 8 as next digit of the result. 
Result so far: 7678.0
Subtract 4112 from 4402 to get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

On to step 8:
514 can be fit into 2900 5 times, resulting in a remainder of 330.
Use 5 as the next digit of our solution. 
Result so far: 7678.5
Subtracting 2570 from 2900 leaves us with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

On to step 9:
3300 divided by 514 is 6 with a remainder of 216.
Record the quotient 6 as the next digit in the result. 
Result so far: 7678.56
If we subtract 3084 from 3300, we get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Going ahead to step 10:
2160 divided by 514 is 4 with a remainder of 104.
Write down 4 as next digit of the result. 
Result so far: 7678.564
Deduct 2056 from 2160 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Moving on to step 11:
When dividing 1040 by 514, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 7678.5642
The remainder is 12 after subtracting 1028 from 1040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
If we divide 120 by 514, we get 0 and a remainder of 120.
The next digit of our result is 0. 
Result so far: 7678.5642
The remainder is 120 after subtracting 0 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Step 13:
514 can be fit into 1200 2 times, resulting in a remainder of 172.
Use 2 as the next digit of our solution. 
Result so far: 7678.564202
Deduct 1028 from 1200 and we're left with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Advancing to step 14:
When dividing 1720 by 514, we get 3 with a remainder of 178.
The number 3 becomes the next digit in our result. 
Result so far: 7678.5642023
The remainder is 178 after subtracting 1542 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Going ahead to step 15:
When dividing 1780 by 514, we get 3 with a remainder of 238.
Use 3 as the next digit of our solution. 
Result so far: 7678.56420233
Deduct 1542 from 1780 and we're left with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

The final result is 7678.56420233 with a remainder of 2.38e-07.