Let's divide 359944 by 19
We're looking to find how many times 19 goes into 359944.

Advancing to step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 19

Advancing to step 2:
If we divide 35 by 19, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 16 after subtracting 19 from 35.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 19

Advancing to step 3:
If we divide 169 by 19, we get 8 and a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we subtract 152 from 169, we get 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 19

Let's proceed to step 4:
19 can be fit into 179 9 times, resulting in a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 189.0
Subtracting 171 from 179 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 19

Let's proceed to step 5:
84 divided by 19 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 1894.0
If we subtract 76 from 84, we get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 19

Let's proceed to step 6:
The number 19 fits into 84 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 18944.0
Subtracting 76 from 84 leaves us 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.

Let's proceed to step 7:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 18944.4
Subtracting 76 from 80 leaves us 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 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 18944.42
Subtracting 38 from 40 leaves us 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.

Going ahead to step 9:
19 goes into 20 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 18944.421
Deduct 19 from 20 and we're left 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.

Going ahead to step 10:
19 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 18944.421
Subtract 0 from 10 to get 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 11:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 18944.42105
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 12:
If we divide 50 by 19, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 18944.421052
Deduct 38 from 50 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.

Advancing to step 13:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 18944.4210526
If we subtract 114 from 120, we 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.

Advancing to step 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 18944.42105263
Subtract 57 from 60 to 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.

In conclusion, the division gives 18944.42105263 with a balance of 3e-09.