We're dividing 42205465 by 777 
We're looking to find how many times 777 goes into 42205465.

Moving on to step 1:
777 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 777

Let's proceed to step 2:
When dividing 42 by 777, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 777

Moving on to step 3:
When dividing 422 by 777, we get 0 with a remainder of 422.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 422 after subtracting 0 from 422.
Bring next digit (0) of the dividend behind the 422 and repeat the process: 4220 / 777

Let's proceed to step 4:
777 can be fit into 4220 5 times, resulting in a remainder of 335.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 3885 away from 4220, we end up with 335.
Append the next digit (5) from the dividend to 335 and continue with: 3355 / 777

Step 5:
777 can be fit into 3355 4 times, resulting in a remainder of 247.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we subtract 3108 from 3355, we get 247.
Grab the next digit (4) from the dividend, add it to 247, then carry on: 2474 / 777

Step 6:
777 goes into 2474 3 times with a remainder of 143.
Put 3 as the next digit of the answer. 
Result so far: 543.0
The remainder is 143 after subtracting 2331 from 2474.
Bring next digit (6) of the dividend behind the 143 and repeat the process: 1436 / 777

Advancing to step 7:
777 goes into 1436 1 times with a remainder of 659.
Write down 1 as next digit of the result. 
Result so far: 5431.0
Deduct 777 from 1436 and we're left with 659.
Take the next digit (5) from the dividend and append it to 659, then repeat: 6595 / 777

On to step 8:
777 goes into 6595 8 times with a remainder of 379.
Use 8 as the next digit of our solution. 
Result so far: 54318.0
Subtract 6216 from 6595 to get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

On to step 9:
3790 divided by 777 is 4 with a remainder of 682.
Record the quotient 4 as the next digit in the result. 
Result so far: 54318.4
If we take 3108 away from 3790, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Moving on to step 10:
6820 divided by 777 is 8 with a remainder of 604.
Use 8 as the next digit of our solution. 
Result so far: 54318.48
If we subtract 6216 from 6820, we get 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

Let's proceed to step 11:
When dividing 6040 by 777, we get 7 with a remainder of 601.
The number 7 becomes the next digit in our result. 
Result so far: 54318.487
If we take 5439 away from 6040, we end up with 601.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6010, and continue the process.

Advancing to step 12:
777 goes into 6010 7 times with a remainder of 571.
Put 7 as the next digit of the answer. 
Result so far: 54318.4877
Subtracting 5439 from 6010 leaves us with 571.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5710, and continue the process.

In conclusion, the division gives 54318.4877 with a balance of 0.00571.