5113 ÷ 77 
We want to divide 5113 by 77.

Moving on to step 1:
If we divide 5 by 77, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 77

Let's proceed to step 2:
If we divide 51 by 77, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (1) from the dividend, attach it to 51 and continue: 511 / 77

On to step 3:
77 goes into 511 6 times with a remainder of 49.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 462 from 511 leaves us with 49.
Fetch the next digit (3) from the dividend, attach it to 49 and continue: 493 / 77

Step 4:
77 goes into 493 6 times with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 462 from 493, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 5:
77 goes into 310 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 66.4
Deduct 308 from 310 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 6:
The number 77 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 66.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
77 can be fit into 200 2 times, resulting in a remainder of 46.
The next digit of our result is 2. 
Result so far: 66.402
The remainder is 46 after subtracting 154 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
460 divided by 77 is 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 66.4025
Deduct 385 from 460 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 9:
When dividing 750 by 77, we get 9 with a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 66.40259
The remainder is 57 after subtracting 693 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 10:
The number 77 fits into 570 7 times, leaving a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 66.402597
If we take 539 away from 570, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 11:
The number 77 fits into 310 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 66.4025974
If we subtract 308 from 310, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
The number 77 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 66.4025974
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 66.4025974 with a remainder of 2e-08.