421448 ÷ 846 
Our goal is to divide 421448 by 846.

Going ahead to step 1:
846 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 846

On to step 2:
The number 846 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 846

Moving on to step 3:
The number 846 fits into 421 0 times, leaving a remainder of 421.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 421, we end up with 421.
Take the next digit (4) from the dividend and append it to 421, then repeat: 4214 / 846

Advancing to step 4:
The number 846 fits into 4214 4 times, leaving a remainder of 830.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 3384 away from 4214, we end up with 830.
Append the next digit (4) from the dividend to 830 and continue with: 8304 / 846

On to step 5:
846 goes into 8304 9 times with a remainder of 690.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
The remainder is 690 after subtracting 7614 from 8304.
Bring next digit (8) of the dividend behind the 690 and repeat the process: 6908 / 846

Going ahead to step 6:
846 goes into 6908 8 times with a remainder of 140.
Write down 8 as next digit of the result. 
Result so far: 498.0
Subtracting 6768 from 6908 leaves us with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 7:
846 goes into 1400 1 times with a remainder of 554.
Write down 1 as next digit of the result. 
Result so far: 498.1
If we subtract 846 from 1400, we get 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Going ahead to step 8:
846 can be fit into 5540 6 times, resulting in a remainder of 464.
Put 6 as the next digit of the answer. 
Result so far: 498.16
Subtracting 5076 from 5540 leaves us with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Moving on to step 9:
4640 divided by 846 is 5 with a remainder of 410.
Use 5 as the next digit of our solution. 
Result so far: 498.165
Subtract 4230 from 4640 to get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

On to step 10:
The number 846 fits into 4100 4 times, leaving a remainder of 716.
Write down 4 as next digit of the result. 
Result so far: 498.1654
Deduct 3384 from 4100 and we're left with 716.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

Going ahead to step 11:
If we divide 7160 by 846, we get 8 and a remainder of 392.
Record the quotient 8 as the next digit in the result. 
Result so far: 498.16548
If we take 6768 away from 7160, we end up with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Let's proceed to step 12:
When dividing 3920 by 846, we get 4 with a remainder of 536.
Record the quotient 4 as the next digit in the result. 
Result so far: 498.165484
Deduct 3384 from 3920 and we're left with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Let's proceed to step 13:
When dividing 5360 by 846, we get 6 with a remainder of 284.
Record the quotient 6 as the next digit in the result. 
Result so far: 498.1654846
If we subtract 5076 from 5360, we get 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Step 14:
846 goes into 2840 3 times with a remainder of 302.
The number 3 becomes the next digit in our result. 
Result so far: 498.16548463
If we subtract 2538 from 2840, we get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

The final result is 498.16548463 with a remainder of 3.02e-07.