We look at the division of 317613 by 77 
We want to figure out the number of times 317613 can be divided by 77.

Advancing to step 1:
When dividing 3 by 77, we get 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.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 77

Step 2:
77 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 77

Moving on to step 3:
77 goes into 317 4 times with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 9 after subtracting 308 from 317.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 77

Step 4:
When dividing 96 by 77, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtract 77 from 96 to get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 77

Let's proceed to step 5:
If we divide 191 by 77, we get 2 and a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 412.0
Subtracting 154 from 191 leaves us with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 77

Moving on to step 6:
77 can be fit into 373 4 times, resulting in a remainder of 65.
Use 4 as the next digit of our solution. 
Result so far: 4124.0
Deduct 308 from 373 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
The number 77 fits into 650 8 times, leaving a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 4124.8
Subtracting 616 from 650 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
77 can be fit into 340 4 times, resulting in a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 4124.84
The remainder is 32 after subtracting 308 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
77 can be fit into 320 4 times, resulting in a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 4124.844
The remainder is 12 after subtracting 308 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 4124.844, and the remainder is 0.0012.