Let's divide 105957 by 19
We want to divide 105957 by 19.

Moving on to step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 19

Moving on to step 2:
If we divide 10 by 19, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 19

Let's proceed to step 3:
The number 19 fits into 105 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 95 from 105, we get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 19

Step 4:
109 divided by 19 is 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
If we take 95 away from 109, we end up with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 19

Moving on to step 5:
19 can be fit into 145 7 times, resulting in a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 557.0
If we subtract 133 from 145, we get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 19

Moving on to step 6:
When dividing 127 by 19, we get 6 with a remainder of 13.
The next digit of our result is 6. 
Result so far: 5576.0
Deduct 114 from 127 and we're left 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:
130 divided by 19 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5576.6
Subtract 114 from 130 to get 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:
160 divided by 19 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 5576.68
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
If we divide 80 by 19, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 5576.684
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 5576.6842
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.

Going ahead to step 11:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 5576.68421
The remainder is 1 after subtracting 19 from 20.
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.
Use 0 as the next digit of our solution. 
Result so far: 5576.68421
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.

Going ahead to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5576.6842105
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.

Moving on to step 14:
If we divide 50 by 19, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 5576.68421052
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 5576.68421052, and the remainder is 1.2e-08.