We look at the division of 77826638 by 101 
We're looking to find how many times 101 goes into 77826638.

Going ahead to step 1:
101 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 101

Advancing to step 2:
77 divided by 101 is 0 with a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Grab the next digit (8) from the dividend, add it to 77, then carry on: 778 / 101

Advancing to step 3:
101 goes into 778 7 times with a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 707 from 778, we get 71.
Append the next digit (2) from the dividend to 71 and continue with: 712 / 101

Advancing to step 4:
The number 101 fits into 712 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 77.0
Subtract 707 from 712 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 101

On to step 5:
If we divide 56 by 101, we get 0 and a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 770.0
If we subtract 0 from 56, we get 56.
Grab the next digit (6) from the dividend, add it to 56, then carry on: 566 / 101

Step 6:
101 goes into 566 5 times with a remainder of 61.
Use 5 as the next digit of our solution. 
Result so far: 7705.0
Deduct 505 from 566 and we're left with 61.
Bring next digit (3) of the dividend behind the 61 and repeat the process: 613 / 101

Let's proceed to step 7:
101 can be fit into 613 6 times, resulting in a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 77056.0
The remainder is 7 after subtracting 606 from 613.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 101

Moving on to step 8:
If we divide 78 by 101, we get 0 and a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 770560.0
If we subtract 0 from 78, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 9:
101 goes into 780 7 times with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 770560.7
If we subtract 707 from 780, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 10:
When dividing 730 by 101, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 770560.77
The remainder is 23 after subtracting 707 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 770560.77 with a balance of 0.023.