We look at the division of 46664 by 89 
Our goal is to divide 46664 by 89.

Advancing to step 1:
The number 89 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 89

Going ahead to step 2:
The number 89 fits into 46 0 times, leaving a remainder of 46.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 89

Going ahead to step 3:
When dividing 466 by 89, we get 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 445 from 466 leaves us with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 89

Going ahead to step 4:
89 goes into 216 2 times with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Deduct 178 from 216 and we're left with 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 89

Step 5:
384 divided by 89 is 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 524.0
If we take 356 away from 384, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 6:
280 divided by 89 is 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 524.3
If we subtract 267 from 280, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
The number 89 fits into 130 1 times, leaving a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 524.31
Deduct 89 from 130 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 8:
89 can be fit into 410 4 times, resulting in a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 524.314
Deduct 356 from 410 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
540 divided by 89 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 524.3146
Deduct 534 from 540 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
60 divided by 89 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 524.3146
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
600 divided by 89 is 6 with a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 524.314606
Subtracting 534 from 600 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
89 goes into 660 7 times with a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 524.3146067
If we take 623 away from 660, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
When dividing 370 by 89, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 524.31460674
If we take 356 away from 370, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 524.31460674 with a remaining 1.4e-08.