815134 ÷ 77 
We're looking to find how many times 77 goes into 815134.

On to step 1:
77 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 77

Moving on to step 2:
If we divide 81 by 77, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 77 away from 81, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 77

Step 3:
77 goes into 45 0 times with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 45 after subtracting 0 from 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 77

Advancing to step 4:
The number 77 fits into 451 5 times, leaving a remainder of 66.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Deduct 385 from 451 and we're left with 66.
Fetch the next digit (3) from the dividend, attach it to 66 and continue: 663 / 77

On to step 5:
When dividing 663 by 77, we get 8 with a remainder of 47.
Use 8 as the next digit of our solution. 
Result so far: 1058.0
The remainder is 47 after subtracting 616 from 663.
Include the next digit (4) from the dividend after 47, then repeat: 474 / 77

Let's proceed to step 6:
77 can be fit into 474 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 10586.0
Subtracting 462 from 474 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
When dividing 120 by 77, we get 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 10586.1
The remainder is 43 after subtracting 77 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 8:
77 can be fit into 430 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 10586.15
The remainder is 45 after subtracting 385 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 9:
If we divide 450 by 77, we get 5 and a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 10586.155
The remainder is 65 after subtracting 385 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 10586.155 and a remainder of 0.0065.