We're dividing 705174 by 89 
Our goal is to divide 705174 by 89.

Going ahead to step 1:
If we divide 7 by 89, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 89

Advancing to step 2:
When dividing 70 by 89, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Include the next digit (5) from the dividend after 70, then repeat: 705 / 89

On to step 3:
89 goes into 705 7 times with a remainder of 82.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 623 from 705, we get 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 89

Advancing to step 4:
89 can be fit into 821 9 times, resulting in a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtracting 801 from 821 leaves us with 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 89

Step 5:
89 can be fit into 207 2 times, resulting in a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 792.0
If we take 178 away from 207, we end up with 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 89

Let's proceed to step 6:
The number 89 fits into 294 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 7923.0
Subtracting 267 from 294 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
The number 89 fits into 270 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 7923.3
If we take 267 away from 270, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
If we divide 30 by 89, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 7923.3
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
When dividing 300 by 89, we get 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 7923.303
Subtracting 267 from 300 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 10:
The number 89 fits into 330 3 times, leaving a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 7923.3033
Deduct 267 from 330 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The final result is 7923.3033 with a remainder of 0.00063.