4419285 ÷ 374 
Our goal is to divide 4419285 by 374.

Going ahead to step 1:
When dividing 4 by 374, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 374

On to step 2:
374 can be fit into 44 0 times, resulting in a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 44 and we're left with 44.
Take the next digit (1) from the dividend and append it to 44, then repeat: 441 / 374

On to step 3:
374 goes into 441 1 times with a remainder of 67.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 374 from 441, we get 67.
Fetch the next digit (9) from the dividend, attach it to 67 and continue: 679 / 374

Going ahead to step 4:
The number 374 fits into 679 1 times, leaving a remainder of 305.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 374 from 679 and we're left with 305.
Take the next digit (2) from the dividend and append it to 305, then repeat: 3052 / 374

Step 5:
If we divide 3052 by 374, we get 8 and a remainder of 60.
Write down 8 as next digit of the result. 
Result so far: 118.0
If we take 2992 away from 3052, we end up with 60.
Bring next digit (8) of the dividend behind the 60 and repeat the process: 608 / 374

Moving on to step 6:
374 can be fit into 608 1 times, resulting in a remainder of 234.
Use 1 as the next digit of our solution. 
Result so far: 1181.0
If we take 374 away from 608, we end up with 234.
Bring next digit (5) of the dividend behind the 234 and repeat the process: 2345 / 374

Advancing to step 7:
The number 374 fits into 2345 6 times, leaving a remainder of 101.
Use 6 as the next digit of our solution. 
Result so far: 11816.0
Subtracting 2244 from 2345 leaves us with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Going ahead to step 8:
374 goes into 1010 2 times with a remainder of 262.
Use 2 as the next digit of our solution. 
Result so far: 11816.2
Subtract 748 from 1010 to get 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

On to step 9:
374 goes into 2620 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 11816.27
Deduct 2618 from 2620 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 374, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 11816.27
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 374, we get 0 with a remainder of 200.
The next digit of our result is 0. 
Result so far: 11816.27
If we subtract 0 from 200, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 11816.27, and the remainder is 0.002.