We divide 583419 by 4
We're looking to find how many times 4 goes into 583419.

Step 1:
5 divided by 4 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 4 away from 5, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 4

Going ahead to step 2:
The number 4 fits into 18 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we subtract 16 from 18, we get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Going ahead to step 3:
If we divide 23 by 4, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 145.0
Deduct 20 from 23 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Let's proceed to step 4:
4 can be fit into 34 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1458.0
If we subtract 32 from 34, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 4

Going ahead to step 5:
4 can be fit into 21 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 14585.0
If we subtract 20 from 21, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 4

Advancing to step 6:
4 goes into 19 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 145854.0
Deduct 16 from 19 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 4, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 145854.7
Subtract 28 from 30 to get 2.
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:
20 divided by 4 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 145854.75
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 145854.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 145854.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 145854.75 with a remaining 0.0.