We're dividing 310306 by 76 
We want to divide 310306 by 76.

Step 1:
When dividing 3 by 76, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 76

Advancing to step 2:
If we divide 31 by 76, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 76

Moving on to step 3:
76 can be fit into 310 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 304 from 310 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 76

Advancing to step 4:
63 divided by 76 is 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
The remainder is 63 after subtracting 0 from 63.
Include the next digit (0) from the dividend after 63, then repeat: 630 / 76

On to step 5:
When dividing 630 by 76, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 408.0
Subtracting 608 from 630 leaves us with 22.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 76

On to step 6:
76 can be fit into 226 2 times, resulting in a remainder of 74.
Use 2 as the next digit of our solution. 
Result so far: 4082.0
Subtracting 152 from 226 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 7:
When dividing 740 by 76, we get 9 with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 4082.9
The remainder is 56 after subtracting 684 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
560 divided by 76 is 7 with a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 4082.97
Subtracting 532 from 560 leaves us with 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 9:
76 can be fit into 280 3 times, resulting in a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 4082.973
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
The number 76 fits into 520 6 times, leaving a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 4082.9736
If we take 456 away from 520, we end up 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.

Advancing to step 11:
640 divided by 76 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 4082.97368
If we take 608 away from 640, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
76 can be fit into 320 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 4082.973684
The remainder is 16 after subtracting 304 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
If we divide 160 by 76, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4082.9736842
Deduct 152 from 160 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.

Moving on to step 14:
76 can be fit into 80 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 4082.97368421
If we take 76 away from 80, 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.

The quotient of the division is 4082.97368421, and the remainder is 4e-09.