76164 ÷ 17 
Our goal is to divide 76164 by 17.

On to step 1:
The number 17 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 17

Moving on to step 2:
The number 17 fits into 76 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 68 from 76 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 17

Going ahead to step 3:
17 goes into 81 4 times with a remainder of 13.
The next digit of our result is 4. 
Result so far: 44.0
If we take 68 away from 81, we end up with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 17

Advancing to step 4:
If we divide 136 by 17, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 448.0
The remainder is 0 after subtracting 136 from 136.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 17

Let's proceed to step 5:
When dividing 4 by 17, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 4480.0
Subtract 0 from 4 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 6:
The number 17 fits into 40 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 4480.2
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
When dividing 60 by 17, we get 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 4480.23
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
The number 17 fits into 90 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4480.235
Deduct 85 from 90 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 4480.2352
Subtracting 34 from 50 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
17 can be fit into 160 9 times, resulting in a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 4480.23529
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
70 divided by 17 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4480.235294
If we subtract 68 from 70, we 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.

Advancing to step 12:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 4480.2352941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 4480.23529411
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 4480.23529411 with a balance of 1.3e-08.