We're dividing 889 by 46 
We want to figure out the number of times 889 can be divided by 46.

Going ahead to step 1:
The number 46 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 46

On to step 2:
46 can be fit into 88 1 times, resulting in a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 42 after subtracting 46 from 88.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 46

On to step 3:
429 divided by 46 is 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 414 from 429 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 4:
The number 46 fits into 150 3 times, leaving a remainder of 12.
The next digit of our result is 3. 
Result so far: 19.3
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 5:
46 can be fit into 120 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 19.32
Subtract 92 from 120 to get 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:
The number 46 fits into 280 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 19.326
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 46 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 19.326
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
46 can be fit into 400 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 19.32608
Subtract 368 from 400 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
46 can be fit into 320 6 times, resulting in a remainder of 44.
The next digit of our result is 6. 
Result so far: 19.326086
Subtract 276 from 320 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
46 can be fit into 440 9 times, resulting in a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 19.3260869
The remainder is 26 after subtracting 414 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
When dividing 260 by 46, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 19.32608695
If we take 230 away from 260, 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.

Our division results in 19.32608695 with a remaining 3e-08.