466961 ÷ 89 
Our goal is to divide 466961 by 89.

On to step 1:
If we divide 4 by 89, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 89

On to step 2:
The number 89 fits into 46 0 times, leaving a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 89

Going ahead to step 3:
The number 89 fits into 466 5 times, leaving a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 21 after subtracting 445 from 466.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 89

On to step 4:
The number 89 fits into 219 2 times, leaving a remainder of 41.
The next digit of our result is 2. 
Result so far: 52.0
Deduct 178 from 219 and we're left with 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 89

Going ahead to step 5:
When dividing 416 by 89, we get 4 with a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 524.0
Deduct 356 from 416 and we're left with 60.
Bring next digit (1) of the dividend behind the 60 and repeat the process: 601 / 89

Step 6:
601 divided by 89 is 6 with a remainder of 67.
The number 6 becomes the next digit in our result. 
Result so far: 5246.0
If we subtract 534 from 601, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
The number 89 fits into 670 7 times, leaving a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 5246.7
If we subtract 623 from 670, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 8:
If we divide 470 by 89, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5246.75
The remainder is 25 after subtracting 445 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
The number 89 fits into 250 2 times, leaving a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 5246.752
Subtract 178 from 250 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
The number 89 fits into 720 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 5246.7528
If we take 712 away from 720, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
When dividing 80 by 89, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 5246.7528
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
If we divide 800 by 89, we get 8 and a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 5246.752808
If we take 712 away from 800, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 13:
89 goes into 880 9 times with a remainder of 79.
Use 9 as the next digit of our solution. 
Result so far: 5246.7528089
Subtracting 801 from 880 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 14:
If we divide 790 by 89, we get 8 and a remainder of 78.
The next digit of our result is 8. 
Result so far: 5246.75280898
Subtracting 712 from 790 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The final result is 5246.75280898 with a remainder of 7.8e-08.