We look at the division of 77726278 by 289 
We want to figure out the number of times 77726278 can be divided by 289.

Moving on to step 1:
When dividing 7 by 289, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 289

Let's proceed to step 2:
The number 289 fits into 77 0 times, leaving a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Take the next digit (7) from the dividend and append it to 77, then repeat: 777 / 289

Step 3:
289 goes into 777 2 times with a remainder of 199.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 578 from 777, we get 199.
Append the next digit (2) from the dividend to 199 and continue with: 1992 / 289

On to step 4:
1992 divided by 289 is 6 with a remainder of 258.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we subtract 1734 from 1992, we get 258.
Grab the next digit (6) from the dividend, add it to 258, then carry on: 2586 / 289

On to step 5:
When dividing 2586 by 289, we get 8 with a remainder of 274.
Use 8 as the next digit of our solution. 
Result so far: 268.0
If we subtract 2312 from 2586, we get 274.
Append the next digit (2) from the dividend to 274 and continue with: 2742 / 289

Moving on to step 6:
If we divide 2742 by 289, we get 9 and a remainder of 141.
Put 9 as the next digit of the answer. 
Result so far: 2689.0
Deduct 2601 from 2742 and we're left with 141.
Append the next digit (7) from the dividend to 141 and continue with: 1417 / 289

On to step 7:
289 goes into 1417 4 times with a remainder of 261.
Record the quotient 4 as the next digit in the result. 
Result so far: 26894.0
The remainder is 261 after subtracting 1156 from 1417.
Include the next digit (8) from the dividend after 261, then repeat: 2618 / 289

On to step 8:
289 goes into 2618 9 times with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 268949.0
If we take 2601 away from 2618, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
289 goes into 170 0 times with a remainder of 170.
The next digit of our result is 0. 
Result so far: 268949.0
The remainder is 170 after subtracting 0 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Step 10:
When dividing 1700 by 289, we get 5 with a remainder of 255.
Use 5 as the next digit of our solution. 
Result so far: 268949.05
If we subtract 1445 from 1700, we get 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Going ahead to step 11:
289 goes into 2550 8 times with a remainder of 238.
Write down 8 as next digit of the result. 
Result so far: 268949.058
The remainder is 238 after subtracting 2312 from 2550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Step 12:
The number 289 fits into 2380 8 times, leaving a remainder of 68.
The next digit of our result is 8. 
Result so far: 268949.0588
Deduct 2312 from 2380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 268949.0588 with a remainder of 0.00068.