114515 ÷ 77 
Let's see how many times 77 fits into 114515.

On to step 1:
77 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 77

Step 2:
77 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 77

Step 3:
When dividing 114 by 77, we get 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 77 from 114 to get 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 77

On to step 4:
375 divided by 77 is 4 with a remainder of 67.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtract 308 from 375 to get 67.
Take the next digit (1) from the dividend and append it to 67, then repeat: 671 / 77

Step 5:
If we divide 671 by 77, we get 8 and a remainder of 55.
Put 8 as the next digit of the answer. 
Result so far: 148.0
The remainder is 55 after subtracting 616 from 671.
Grab the next digit (5) from the dividend, add it to 55, then carry on: 555 / 77

Advancing to step 6:
When dividing 555 by 77, we get 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 1487.0
Deduct 539 from 555 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 77, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1487.2
The remainder is 6 after subtracting 154 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 77 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1487.2
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 9:
77 can be fit into 600 7 times, resulting in a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 1487.207
Subtract 539 from 600 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 10:
610 divided by 77 is 7 with a remainder of 71.
The next digit of our result is 7. 
Result so far: 1487.2077
Subtracting 539 from 610 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The quotient of the division is 1487.2077, and the remainder is 0.00071.