17670 ÷ 4 
We want to figure out the number of times 17670 can be divided by 4.

On to step 1:
The number 4 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 4

On to step 2:
When dividing 17 by 4, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 16 from 17 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 4

Going ahead to step 3:
4 can be fit into 16 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 44.0
Subtracting 16 from 16 leaves us with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 4

Going ahead to step 4:
The number 4 fits into 7 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 441.0
Deduct 4 from 7 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 4

Going ahead to step 5:
When dividing 30 by 4, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 4417.0
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
The number 4 fits into 20 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 4417.5
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4417.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
0 divided by 4 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4417.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 4417.5 with a remainder of 0.0.