We're dividing 577659 by 19 
We want to divide 577659 by 19.

Advancing to step 1:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 19

Let's proceed to step 2:
When dividing 57 by 19, we get 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 57 from 57 leaves us with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 19

Moving on to step 3:
When dividing 7 by 19, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 19

Let's proceed to step 4:
If we divide 76 by 19, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 304.0
If we take 76 away from 76, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 19

Step 5:
The number 19 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 3040.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 19

Going ahead to step 6:
If we divide 59 by 19, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 30403.0
Deduct 57 from 59 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.

Step 7:
If we divide 20 by 19, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 30403.1
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 30403.1
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
When dividing 100 by 19, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 30403.105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 30403.1052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
19 can be fit into 120 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 30403.10526
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 12:
60 divided by 19 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 30403.105263
Subtracting 57 from 60 leaves us 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.

Let's proceed to step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 30403.1052631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
When dividing 110 by 19, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 30403.10526315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 30403.10526315 with a remaining 1.5e-08.