600261 ÷ 19 
We're looking to find how many times 19 goes into 600261.

On to step 1:
19 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 19

Going ahead to step 2:
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: 3.0
If we subtract 57 from 60, we get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 19

On to step 3:
19 goes into 30 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 31.0
If we take 19 away from 30, we end up with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 19

Advancing to step 4:
19 goes into 112 5 times with a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 315.0
Subtracting 95 from 112 leaves us with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 19

Advancing to step 5:
19 can be fit into 176 9 times, resulting in a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 3159.0
Deduct 171 from 176 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 19

Let's proceed to step 6:
When dividing 51 by 19, we get 2 with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 31592.0
Subtracting 38 from 51 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 31592.6
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 31592.68
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 31592.684
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 31592.6842
Subtract 38 from 40 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.

Step 11:
When dividing 20 by 19, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 31592.68421
Subtracting 19 from 20 leaves us 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.

Step 12:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 31592.68421
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.

Step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 31592.6842105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
When dividing 50 by 19, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 31592.68421052
If we take 38 away from 50, we end up 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.

The quotient of the division is 31592.68421052, and the remainder is 1.2e-08.