588474 ÷ 19 
We're looking to find how many times 19 goes into 588474.

Moving on to step 1:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 19

Let's proceed to step 2:
19 can be fit into 58 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 57 away from 58, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 19

On to step 3:
19 goes into 18 0 times with a remainder of 18.
The next digit of our result is 0. 
Result so far: 30.0
If we take 0 away from 18, we end up with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 19

Advancing to step 4:
The number 19 fits into 184 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 309.0
Deduct 171 from 184 and we're left with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 19

Let's proceed to step 5:
19 can be fit into 137 7 times, resulting in a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 3097.0
The remainder is 4 after subtracting 133 from 137.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 19

Going ahead to step 6:
44 divided by 19 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 30972.0
If we take 38 away from 44, 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.

On to step 7:
If we divide 60 by 19, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 30972.3
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
If we divide 30 by 19, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 30972.31
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
110 divided by 19 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 30972.315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 30972.3157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 30972.31578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
19 goes into 180 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 30972.315789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 30972.3157894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 30972.31578947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 30972.31578947 with a balance of 7e-09.