708174 ÷ 777 
We want to figure out the number of times 708174 can be divided by 777.

Step 1:
When dividing 7 by 777, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 777

Moving on to step 2:
777 goes into 70 0 times with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 70, we end up with 70.
Bring next digit (8) of the dividend behind the 70 and repeat the process: 708 / 777

Step 3:
708 divided by 777 is 0 with a remainder of 708.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 708, we end up with 708.
Append the next digit (1) from the dividend to 708 and continue with: 7081 / 777

On to step 4:
The number 777 fits into 7081 9 times, leaving a remainder of 88.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 88 after subtracting 6993 from 7081.
Include the next digit (7) from the dividend after 88, then repeat: 887 / 777

Moving on to step 5:
When dividing 887 by 777, we get 1 with a remainder of 110.
Use 1 as the next digit of our solution. 
Result so far: 91.0
Subtract 777 from 887 to get 110.
Bring next digit (4) of the dividend behind the 110 and repeat the process: 1104 / 777

Let's proceed to step 6:
If we divide 1104 by 777, we get 1 and a remainder of 327.
Write down 1 as next digit of the result. 
Result so far: 911.0
The remainder is 327 after subtracting 777 from 1104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Advancing to step 7:
3270 divided by 777 is 4 with a remainder of 162.
The number 4 becomes the next digit in our result. 
Result so far: 911.4
Subtracting 3108 from 3270 leaves us with 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Advancing to step 8:
If we divide 1620 by 777, we get 2 and a remainder of 66.
The next digit of our result is 2. 
Result so far: 911.42
If we subtract 1554 from 1620, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
If we divide 660 by 777, we get 0 and a remainder of 660.
Write down 0 as next digit of the result. 
Result so far: 911.42
If we subtract 0 from 660, we get 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Advancing to step 10:
6600 divided by 777 is 8 with a remainder of 384.
Record the quotient 8 as the next digit in the result. 
Result so far: 911.4208
If we take 6216 away from 6600, we end up with 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Going ahead to step 11:
3840 divided by 777 is 4 with a remainder of 732.
The number 4 becomes the next digit in our result. 
Result so far: 911.42084
Subtract 3108 from 3840 to get 732.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7320, and continue the process.

Moving on to step 12:
When dividing 7320 by 777, we get 9 with a remainder of 327.
The next digit of our result is 9. 
Result so far: 911.420849
Deduct 6993 from 7320 and we're left with 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Moving on to step 13:
777 goes into 3270 4 times with a remainder of 162.
Write down 4 as next digit of the result. 
Result so far: 911.4208494
Subtract 3108 from 3270 to get 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

On to step 14:
777 can be fit into 1620 2 times, resulting in a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 911.42084942
If we take 1554 away from 1620, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final outcome is 911.42084942, with a leftover of 6.6e-08.