Mathematics is a subject that involves a lot of problem-solving skills. Every day, we encounter different mathematical problems that require our attention, and one such problem is dividing 150 by 7. In this article, we will explore how to solve this math problem step by step.

## Step 1: Understanding Division

Division is an arithmetic operation that involves splitting a number into equal parts. It is denoted by the symbol ‘÷’ or ‘/’.

In the division operation, we have:

Dividend ÷ Divisor = Quotient

Here, 150 is the dividend, 7 is the divisor, and we need to find the quotient.

## Step 2: Division Method

To solve this math problem, we will use the long division method. This method involves dividing the dividend by the divisor and writing the quotient and remainder.

Let’s see how it is done:

**Step 1:** Write 150 as the dividend and 7 as the divisor.

**Step 2:** Divide 1 into 15. As 1 cannot be divided by 7, we move to the next digit, which is 5. 5 divided by 7 is 0, with a remainder of 5.

**Step 3:** Bring down the next digit, which is 0, and write it next to the remainder. We get 50.

**Step 4:** Divide 5 into 50. 5 divided by 7 is 0, with a remainder of 5.

**Step 5:** Bring down the next digit, which is 0, and write it next to the remainder. We get 50 again.

**Step 6:** Divide 5 into 50 again. 5 divided by 7 is 0, with a remainder of 5.

**Step 7:** Bring down the last digit, which is 0, and write it next to the remainder. We get 50 again.

**Step 8:** Divide 5 into 50 for the last time. 5 divided by 7 is 0, with a remainder of 5.

**Step 9:** We cannot divide any further, so the remainder is the final answer, which is 5.

## Step 3: Verifying the Answer

To verify our answer, we can multiply the quotient (21) by the divisor (7) and add the remainder (5). It should give us the dividend (150).

21 x 7 + 5 = 147 + 3 = 150

Thus, our answer is correct.

## Conclusion

In conclusion, dividing 150 by 7 is not a difficult math problem. By using the long division method, we can easily find the quotient and remainder. It is always helpful to verify the answer to ensure its accuracy. With practice, we can become proficient in solving mathematical problems and improve our problem-solving skills.