477661 ÷ 17 
We're looking to find how many times 17 goes into 477661.

Going ahead to step 1:
4 divided by 17 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 17

Step 2:
17 goes into 47 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 34 from 47 and we're left with 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 17

Going ahead to step 3:
137 divided by 17 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
Subtracting 136 from 137 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 17

Moving on to step 4:
The number 17 fits into 16 0 times, leaving a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 280.0
If we take 0 away from 16, we end up with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 17

Let's proceed to step 5:
17 can be fit into 166 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 2809.0
If we subtract 153 from 166, we get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 17

Going ahead to step 6:
When dividing 131 by 17, we get 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 28097.0
The remainder is 12 after subtracting 119 from 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
When dividing 120 by 17, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 28097.7
Subtract 119 from 120 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 28097.7
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
If we divide 100 by 17, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 28097.705
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
150 divided by 17 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 28097.7058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
If we divide 140 by 17, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 28097.70588
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 28097.70588 and a remainder of 4e-06.