190 divided by 12

Breiz Heurope

2 min read

·

10-03-2025

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Introduction:

Dividing 190 by 12 might seem daunting at first, especially if you're not comfortable with long division. But don't worry! This article will guide you through the process step-by-step, explaining the logic behind each calculation. We'll find the quotient and remainder when dividing 190 by 12. This is a fundamental arithmetic skill with applications in various fields, from budgeting to engineering.

Understanding Long Division

Long division is a method for dividing larger numbers into smaller parts. It systematically breaks down the division into a series of smaller, more manageable steps. The process involves dividing, multiplying, subtracting, and bringing down the next digit. Let's apply this process to 190 divided by 12.

Setting up the Problem

First, write the problem in the standard long division format:

      _____
12 | 190

Step-by-Step Solution: 190 Divided by 12

Step 1: Divide the Tens Digit

Look at the first two digits of the dividend (190), which is 19. How many times does 12 go into 19? It goes in one time (12 x 1 = 12). Write the "1" above the 9 in the quotient.

      1____
12 | 190

Step 2: Multiply and Subtract

Multiply the quotient digit (1) by the divisor (12): 1 x 12 = 12. Write this result below the 19. Then subtract: 19 - 12 = 7.

      1____
12 | 190
     -12
       7

Step 3: Bring Down the Ones Digit

Bring down the next digit (0) from the dividend. This gives you 70.

      1____
12 | 190
     -12
       70

Step 4: Divide Again

Now, how many times does 12 go into 70? It goes in 5 times (12 x 5 = 60). Write "5" in the quotient next to the "1".

      15___
12 | 190
     -12
       70

Step 5: Multiply and Subtract (Again)

Multiply the new quotient digit (5) by the divisor (12): 5 x 12 = 60. Subtract this from 70: 70 - 60 = 10.

      15___
12 | 190
     -12
       70
      -60
       10

Result: Quotient and Remainder

The division is complete. The quotient is 15, and the remainder is 10. This means that 12 goes into 190 fifteen times with 10 left over. We can express this as:

190 ÷ 12 = 15 with a remainder of 10

Or, using fractions:

190 ÷ 12 = 15 10/12 = 15 5/6 (Simplified fraction)

Conclusion

Successfully dividing 190 by 12 involves a series of steps: divide, multiply, subtract, and bring down. By understanding and applying these steps, you can confidently solve similar long division problems. Remember, practice is key to mastering long division. Now you're equipped to tackle other division challenges with increased confidence. Keep practicing, and you'll quickly become proficient at this essential mathematical skill!