A brief tutorial which explains the divisibility rule for 19. Using this rule you could identify whether the given number is divisible by 19 without performing the long division. It has two cases to find divisibility. Refer the below two rules and find if the given number is divisible by 19.

Multiply the last digit by 2. Add the resultant value to the remaining numbers. Apply this rule over and over again as necessary.

Find if the number 101156 is divisible by 19.

Applying the divisibility rule for 19,

Multiplying the lat digit by 2, we get

**2 x 6 = 12**

Add the resultant value to the remaining numbers

**10115 + 12 = 10127**

Repeat the same steps as **step 1 & step 2** until the number becomes smaller to get easily divisible by **19**

**1012 + 2 x 7 = 1026**

**102 + 2 x 6 = 114**

Now, it is known that 114 is divisible by 19 (i.e) **114 = 6 x 19**

Hence, the number **101156 is also divisible by 19**.

Multiply the last two digits by 4. Add the resultant value to the remaining numbers. Apply this rule over and over again as necessary.

Find if the number 11343 is divisible by 19.

Multiplying the last two digits by 4, we get

(i.e) **43 x 4 = 172**

Add the resultant value to the remaining numbers
**172 + 113 = 285**

Repeat the same steps as **step 1 & step 2** until the number becomes smaller to get easily divisible by **19**

**85 x 4 + 2 = 342**

**42 x 4 + 3 = 171**

Now, it is clear that **171 is divisible by 19 (i.e) 19 x 9 = 171**

Since, the number 171 is divisible by 19, the original number **11343 is also divisible by 19.**