78778706 ÷ 642 
Our goal is to divide 78778706 by 642.

Going ahead to step 1:
When dividing 7 by 642, 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.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 642

Advancing to step 2:
The number 642 fits into 78 0 times, leaving a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Take the next digit (7) from the dividend and append it to 78, then repeat: 787 / 642

Let's proceed to step 3:
642 can be fit into 787 1 times, resulting in a remainder of 145.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 145 after subtracting 642 from 787.
Bring next digit (7) of the dividend behind the 145 and repeat the process: 1457 / 642

Step 4:
1457 divided by 642 is 2 with a remainder of 173.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 1284 away from 1457, we end up with 173.
Append the next digit (8) from the dividend to 173 and continue with: 1738 / 642

Let's proceed to step 5:
When dividing 1738 by 642, we get 2 with a remainder of 454.
Put 2 as the next digit of the answer. 
Result so far: 122.0
Subtract 1284 from 1738 to get 454.
Bring next digit (7) of the dividend behind the 454 and repeat the process: 4547 / 642

Advancing to step 6:
If we divide 4547 by 642, we get 7 and a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 1227.0
If we take 4494 away from 4547, we end up with 53.
Take the next digit (0) from the dividend and append it to 53, then repeat: 530 / 642

On to step 7:
642 goes into 530 0 times with a remainder of 530.
Put 0 as the next digit of the answer. 
Result so far: 12270.0
Subtract 0 from 530 to get 530.
Fetch the next digit (6) from the dividend, attach it to 530 and continue: 5306 / 642

Step 8:
When dividing 5306 by 642, we get 8 with a remainder of 170.
The next digit of our result is 8. 
Result so far: 122708.0
Subtract 5136 from 5306 to get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Moving on to step 9:
642 goes into 1700 2 times with a remainder of 416.
The number 2 becomes the next digit in our result. 
Result so far: 122708.2
Subtract 1284 from 1700 to get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Let's proceed to step 10:
If we divide 4160 by 642, we get 6 and a remainder of 308.
Use 6 as the next digit of our solution. 
Result so far: 122708.26
Deduct 3852 from 4160 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

On to step 11:
642 can be fit into 3080 4 times, resulting in a remainder of 512.
Use 4 as the next digit of our solution. 
Result so far: 122708.264
Deduct 2568 from 3080 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Step 12:
The number 642 fits into 5120 7 times, leaving a remainder of 626.
Record the quotient 7 as the next digit in the result. 
Result so far: 122708.2647
If we subtract 4494 from 5120, we get 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Step 13:
642 can be fit into 6260 9 times, resulting in a remainder of 482.
Record the quotient 9 as the next digit in the result. 
Result so far: 122708.26479
If we subtract 5778 from 6260, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Let's proceed to step 14:
If we divide 4820 by 642, we get 7 and a remainder of 326.
Use 7 as the next digit of our solution. 
Result so far: 122708.264797
If we subtract 4494 from 4820, we get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

On to step 15:
When dividing 3260 by 642, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 122708.2647975
If we subtract 3210 from 3260, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 16:
642 goes into 500 0 times with a remainder of 500.
Write down 0 as next digit of the result. 
Result so far: 122708.2647975
If we subtract 0 from 500, we get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

After the division, we end up with 122708.2647975 and a remainder of 5e-07.