We divide 309174 by 77
We're looking to find how many times 77 goes into 309174.

Moving on to step 1:
If we divide 3 by 77, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 77

Step 2:
77 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 77

Step 3:
If we divide 309 by 77, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 308 from 309, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 77

Let's proceed to step 4:
11 divided by 77 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 40.0
Subtracting 0 from 11 leaves us with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 77

Moving on to step 5:
If we divide 117 by 77, we get 1 and a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 401.0
Subtracting 77 from 117 leaves us with 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 77

On to step 6:
The number 77 fits into 404 5 times, leaving a remainder of 19.
The next digit of our result is 5. 
Result so far: 4015.0
Subtract 385 from 404 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
77 goes into 190 2 times with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 4015.2
The remainder is 36 after subtracting 154 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
If we divide 360 by 77, we get 4 and a remainder of 52.
Use 4 as the next digit of our solution. 
Result so far: 4015.24
Deduct 308 from 360 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 9:
When dividing 520 by 77, we get 6 with a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 4015.246
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
77 can be fit into 580 7 times, resulting in a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 4015.2467
If we take 539 away from 580, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 11:
The number 77 fits into 410 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 4015.24675
Subtract 385 from 410 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
77 can be fit into 250 3 times, resulting in a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 4015.246753
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 13:
190 divided by 77 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 4015.2467532
Deduct 154 from 190 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 14:
77 can be fit into 360 4 times, resulting in a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 4015.24675324
Subtracting 308 from 360 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 4015.24675324, and the remainder is 5.2e-08.