We're dividing 2059 by 19 
Let's see how many times 19 fits into 2059.

On to step 1:
19 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 19

Let's proceed to step 2:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 19 from 20 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 19

On to step 3:
If we divide 15 by 19, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 15, we end up with 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 19

Let's proceed to step 4:
The number 19 fits into 159 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we subtract 152 from 159, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 5:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 108.3
Subtracting 57 from 70 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.

Let's proceed to step 6:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 108.36
Deduct 114 from 130 and we're left 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.

On to step 7:
19 can be fit into 160 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 108.368
If we take 152 away from 160, we end up 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 8:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 108.3684
Deduct 76 from 80 and we're left 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 9:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 108.36842
If we subtract 38 from 40, we 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.

Advancing to step 10:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 108.368421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
When dividing 10 by 19, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 108.368421
If we take 0 away from 10, we end up 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 12:
19 goes into 100 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 108.36842105
If we subtract 95 from 100, we 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.

After the division, we end up with 108.36842105 and a remainder of 5e-09.