We look at the division of 371307 by 77 
We want to divide 371307 by 77.

On to step 1:
If we divide 3 by 77, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 77

Step 2:
If we divide 37 by 77, we get 0 and a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 77

Step 3:
371 divided by 77 is 4 with a remainder of 63.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 308 from 371, we get 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 77

Step 4:
If we divide 633 by 77, we get 8 and a remainder of 17.
The next digit of our result is 8. 
Result so far: 48.0
The remainder is 17 after subtracting 616 from 633.
Fetch the next digit (0) from the dividend, attach it to 17 and continue: 170 / 77

Advancing to step 5:
77 can be fit into 170 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 482.0
If we take 154 away from 170, we end up with 16.
Bring next digit (7) of the dividend behind the 16 and repeat the process: 167 / 77

On to step 6:
77 can be fit into 167 2 times, resulting in a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 4822.0
The remainder is 13 after subtracting 154 from 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
77 can be fit into 130 1 times, resulting in a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 4822.1
Subtract 77 from 130 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 8:
When dividing 530 by 77, we get 6 with a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 4822.16
The remainder is 68 after subtracting 462 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 9:
77 can be fit into 680 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 4822.168
If we take 616 away from 680, 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.

Let's proceed to step 10:
When dividing 640 by 77, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 4822.1688
Deduct 616 from 640 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 4822.1688 with a remainder of 0.00024.