479665 ÷ 77 
Our goal is to divide 479665 by 77.

Let's proceed to step 1:
4 divided by 77 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 77

Moving on to step 2:
If we divide 47 by 77, we get 0 and a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Append the next digit (9) from the dividend to 47 and continue with: 479 / 77

Going ahead to step 3:
77 can be fit into 479 6 times, resulting in a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 462 from 479, we get 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 77

Advancing to step 4:
When dividing 176 by 77, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we subtract 154 from 176, we get 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 77

Moving on to step 5:
When dividing 226 by 77, we get 2 with a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 622.0
If we take 154 away from 226, we end up with 72.
Append the next digit (5) from the dividend to 72 and continue with: 725 / 77

Advancing to step 6:
77 goes into 725 9 times with a remainder of 32.
The number 9 becomes the next digit in our result. 
Result so far: 6229.0
If we take 693 away from 725, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
The number 77 fits into 320 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 6229.4
If we subtract 308 from 320, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
The number 77 fits into 120 1 times, leaving a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 6229.41
If we subtract 77 from 120, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 9:
77 goes into 430 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 6229.415
If we take 385 away from 430, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
77 goes into 450 5 times with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 6229.4155
If we take 385 away from 450, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 6229.4155 with a remainder of 0.00065.