421419 ÷ 89 
We want to divide 421419 by 89.

On to step 1:
89 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 89

On to step 2:
If we divide 42 by 89, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 89

On to step 3:
If we divide 421 by 89, we get 4 and a remainder of 65.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 356 from 421 and we're left with 65.
Include the next digit (4) from the dividend after 65, then repeat: 654 / 89

Going ahead to step 4:
The number 89 fits into 654 7 times, leaving a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
Subtract 623 from 654 to get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 89

Step 5:
89 can be fit into 311 3 times, resulting in a remainder of 44.
Write down 3 as next digit of the result. 
Result so far: 473.0
Subtract 267 from 311 to get 44.
Take the next digit (9) from the dividend and append it to 44, then repeat: 449 / 89

Going ahead to step 6:
The number 89 fits into 449 5 times, leaving a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 4735.0
If we subtract 445 from 449, we 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.

Advancing to step 7:
If we divide 40 by 89, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 4735.0
If we subtract 0 from 40, we 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.

Advancing to step 8:
The number 89 fits into 400 4 times, leaving a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 4735.04
Deduct 356 from 400 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
89 can be fit into 440 4 times, resulting in a remainder of 84.
Use 4 as the next digit of our solution. 
Result so far: 4735.044
Subtracting 356 from 440 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final outcome is 4735.044, with a leftover of 0.0084.