Solve Long Division: 945 ÷ 15 Step-by-Step

Q: Why do I start with 94 instead of just 9?

You need to start with enough digits so that 15 can fit into them at least once. Since 15 > 9, you must use the first two digits (94) to begin division.

Q: How do I know 15 goes into 94 exactly 6 times?

Try multiples: $ 15 \times 5 = 75 $, $ 15 \times 6 = 90 $, $ 15 \times 7 = 105 $. Since 105 > 94, but 90 ≤ 94, the answer is 6.

Q: What if I get a remainder that's bigger than the divisor?

That means you made an error! The remainder must always be smaller than the divisor. Go back and check your multiplication and subtraction steps.

Q: Can I check my answer without doing the whole division again?

Yes! Simply multiply your quotient by the divisor: $ 63 \times 15 $. If you get back to 945, your division is correct.

Q: What happens if there's a remainder at the end?

Write it as quotient remainder divisor (like 63 R 0) or as a fraction. In this problem, we get exactly 0 remainder, so $ 945 ÷ 15 = 63 $ exactly.

Long Division with Three-Digit Dividends

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's start by dividing the leftmost digit by the divisor

00:07 9 is less than 15, so we'll bring down the next digit, and then divide

00:16 Write the result without remainder above, pay attention to position

00:21 Now multiply the result by the divisor

00:25 Subtract the product from the number

00:30 Now bring down the next digit below and use the same steps

00:36 Divide

00:40 Write the result without remainder above, pay attention to position

00:43 Multiply the result and subtract

00:50 We got a remainder of 0

00:55 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve the problem of finding $945 \div 15$ , we will use long division:

Step 1: Set up the long division. With $945$ as the dividend and $15$ as the divisor, begin by considering the first two digits, $94$ .
Step 2: Determine how many times $15$ fits into $94$ . Since $15 \times 6 = 90$ (the highest multiple of 15 under 94), write $6$ as the first digit of the quotient.
Step 3: Subtract $90$ from $94$ , obtaining $4$ (as $94 - 90 = 4$ ).
Step 4: Bring down the next digit from the dividend, which is $5$ , turning the current number to $45$ .
Step 5: Find how many times $15$ fits into $45$ . Since $45 \div 15 = 3$ exactly, write $3$ as the next digit of the quotient.
Step 6: Subtract $45$ from $45$ , resulting in $0$ . There are no remaining digits to bring down, and the process is complete.

Therefore, the result of $945 \div 15$ is $63$ .

Final Answer

$63$

Key Points to Remember

Essential concepts to master this topic

Setup: Divide digit by digit from left to right
Technique: Find $15 \times 6 = 90$ fits into 94
Check: Multiply quotient by divisor: $63 \times 15 = 945$ ✓

Common Mistakes

Avoid these frequent errors

Starting division with wrong digit grouping
Don't start by trying to divide 9 by 15 = impossible division! This makes you think the problem can't be solved. Always group enough digits so the divisor fits at least once (94 ÷ 15 works).

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I start with 94 instead of just 9?

You need to start with enough digits so that 15 can fit into them at least once. Since 15 > 9, you must use the first two digits (94) to begin division.

How do I know 15 goes into 94 exactly 6 times?

Try multiples: $15 \times 5 = 75$ , $15 \times 6 = 90$ , $15 \times 7 = 105$ . Since 105 > 94, but 90 ≤ 94, the answer is 6.

What if I get a remainder that's bigger than the divisor?

That means you made an error! The remainder must always be smaller than the divisor. Go back and check your multiplication and subtraction steps.

Can I check my answer without doing the whole division again?

Yes! Simply multiply your quotient by the divisor: $63 \times 15$ . If you get back to 945, your division is correct.

What happens if there's a remainder at the end?

Write it as quotient remainder divisor (like 63 R 0) or as a fraction. In this problem, we get exactly 0 remainder, so $945 ÷ 15 = 63$ exactly.

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