Long Division Problem: Dividing 15003 by 3 Step-by-Step

Video Solution

Solution Steps

00:04 Let's solve this problem together.

00:08 First, divide the leftmost digit in the dividend.

00:12 One is less than three. So, let's add the next digit, then divide.

00:17 Write the result above the line.

00:20 Now, multiply this result by the divisor.

00:25 Subtract that product from the current number.

00:29 Bring down the next digit, then repeat the process.

00:33 Let's divide again.

00:36 Write the new result above.

00:39 Multiply the outcome, subtract it again.

00:44 Bring down the next number, and let's continue.

00:48 Notice it's the same digit? Use the same calculation steps.

00:52 Bring down the next digit, and keep going.

00:57 Time to divide once more.

01:00 Write this new result at the top.

01:04 Multiply and subtract like before.

01:08 Now, we have a remainder of zero.

01:11 And that's how we find the solution. Great job!

Step-by-Step Solution

To solve the problem of dividing $15003$ by $3$ , we will use the long division method. Let's break it down step-by-step:

Step 1: Begin with the first digit of $15003$ , which is $1$ . Since $1$ divided by $3$ is $0$ , we can't use this, so we consider the first two digits, which are $15$ .
Step 2: Divide $15$ by $3$ . The result is $5$ because $5 \times 3 = 15$ . Subtract $15$ from $15$ to get $0$ .
Step 3: Bring down the next digit, which is $0$ . Now, we have $0$ to divide by $3$ , which results in $0$ . Write $0$ next to $5$ in the quotient.
Step 4: Bring down the next digit, which is again $0$ . Divide $0$ by $3$ to get $0$ . Write $0$ in the quotient, making it $500$ .
Step 5: Finally, bring down the last digit, which is $3$ . Divide $3$ by $3$ to get $1$ . Write $1$ in the quotient, making it $5001$ .

The division is complete as there are no more digits to bring down. Hence, the quotient of dividing $15003$ by $3$ is:

$5001$ .