We're dividing 669359 by 86 
We're looking to find how many times 86 goes into 669359.

On to step 1:
6 divided by 86 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 86

Going ahead to step 2:
86 can be fit into 66 0 times, resulting in a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Append the next digit (9) from the dividend to 66 and continue with: 669 / 86

Going ahead to step 3:
The number 86 fits into 669 7 times, leaving a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 602 away from 669, we end up with 67.
Fetch the next digit (3) from the dividend, attach it to 67 and continue: 673 / 86

Step 4:
The number 86 fits into 673 7 times, leaving a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 77.0
If we take 602 away from 673, we end up with 71.
Include the next digit (5) from the dividend after 71, then repeat: 715 / 86

Let's proceed to step 5:
715 divided by 86 is 8 with a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 778.0
If we take 688 away from 715, we end up with 27.
Include the next digit (9) from the dividend after 27, then repeat: 279 / 86

Step 6:
When dividing 279 by 86, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 7783.0
Deduct 258 from 279 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
When dividing 210 by 86, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 7783.2
Subtract 172 from 210 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 8:
When dividing 380 by 86, we get 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 7783.24
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
When dividing 360 by 86, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 7783.244
The remainder is 16 after subtracting 344 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 7783.244 and a remainder of 0.0016.