We look at the division of 583419 by 57 
We want to figure out the number of times 583419 can be divided by 57.

On to step 1:
The number 57 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 57

On to step 2:
When dividing 58 by 57, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 57 from 58 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 57

Advancing to step 3:
When dividing 13 by 57, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 57

Moving on to step 4:
If we divide 134 by 57, we get 2 and a remainder of 20.
The next digit of our result is 2. 
Result so far: 102.0
Subtract 114 from 134 to get 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 57

Going ahead to step 5:
57 goes into 201 3 times with a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 1023.0
The remainder is 30 after subtracting 171 from 201.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 57

Step 6:
The number 57 fits into 309 5 times, leaving a remainder of 24.
The next digit of our result is 5. 
Result so far: 10235.0
Subtracting 285 from 309 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
57 can be fit into 240 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 10235.4
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 57 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 10235.42
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
57 goes into 60 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 10235.421
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
If we divide 30 by 57, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 10235.421
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
The number 57 fits into 300 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 10235.42105
If we take 285 away from 300, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
57 can be fit into 150 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 10235.421052
If we take 114 away from 150, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 13:
57 goes into 360 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 10235.4210526
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 14:
57 can be fit into 180 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 10235.42105263
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 10235.42105263 with a balance of 9e-09.