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

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:07 1 is less than 3, so we'll add the next digit and then divide

00:10 Write the result above

00:13 Now multiply the result by the divisor

00:21 Subtract the product from the number

00:25 Now bring down the next digit and follow the same steps

00:28 Divide

00:32 Write the result above

00:35 Multiply the result and subtract

00:40 Now bring down the next digit and follow the same steps

00:43 Since it's the same digit, we'll use the same calculations

00:48 Now bring down the next digit and follow the same steps

00:53 Divide

00:56 Write the result above

01:00 Multiply the result and subtract

01:04 We got a remainder of 0

01:07 And this is the solution to the problem

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:

$5001$ .