419742 ÷ 89 
Let's see how many times 89 fits into 419742.

Advancing to step 1:
4 divided by 89 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 89

Let's proceed to step 2:
89 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 89

Let's proceed to step 3:
89 goes into 419 4 times with a remainder of 63.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 63 after subtracting 356 from 419.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 89

Step 4:
The number 89 fits into 637 7 times, leaving a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 47.0
Subtracting 623 from 637 leaves us with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 89

On to step 5:
89 can be fit into 144 1 times, resulting in a remainder of 55.
The next digit of our result is 1. 
Result so far: 471.0
The remainder is 55 after subtracting 89 from 144.
Append the next digit (2) from the dividend to 55 and continue with: 552 / 89

Moving on to step 6:
If we divide 552 by 89, we get 6 and a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 4716.0
Subtracting 534 from 552 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
When dividing 180 by 89, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 4716.2
The remainder is 2 after subtracting 178 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
89 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 4716.2
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
89 goes into 200 2 times with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 4716.202
If we take 178 away from 200, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
220 divided by 89 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 4716.2022
Subtracting 178 from 220 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 4716.2022 with a remaining 0.00042.