We're dividing 668674 by 94 
We want to divide 668674 by 94.

Step 1:
94 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 94

Moving on to step 2:
When dividing 66 by 94, we get 0 with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Take the next digit (8) from the dividend and append it to 66, then repeat: 668 / 94

On to step 3:
94 can be fit into 668 7 times, resulting in a remainder of 10.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 658 from 668 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 94

Going ahead to step 4:
When dividing 106 by 94, we get 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtract 94 from 106 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 94

Let's proceed to step 5:
If we divide 127 by 94, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 711.0
If we take 94 away from 127, we end up with 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 94

Advancing to step 6:
94 can be fit into 334 3 times, resulting in a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 7113.0
If we subtract 282 from 334, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
94 can be fit into 520 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 7113.5
Subtracting 470 from 520 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
When dividing 500 by 94, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 7113.55
If we take 470 away from 500, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 7113.55, and the remainder is 0.03.