Long Division Problem: Dividing 133 by 7 Step-by-Step

Q: What if 7 doesn't go into 13 evenly?

That's normal! When 7 goes into 13, you get 1 with remainder 6. Write down the 1, then bring down the next digit (3) to make 63, and continue dividing.

Q: Why do I write the quotient above the dividend?

The quotient goes above because it shows the final answer clearly. Each digit of the quotient aligns with the corresponding digit you're working on in the dividend.

Q: What does 'bring down' mean exactly?

Bring down means write the next digit from the dividend next to your remainder. So if your remainder is 6 and the next digit is 3, you write 63 and divide 63 by 7.

Q: How can I check if my division is correct?

Multiply your quotient by the divisor: $ 19 \times 7 $. If you get back to your original dividend (133), your division is correct!

Long Division with Two-Digit Quotients

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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 in the dividend

00:08 7 is greater than 1, so we'll bring down the next digit and then divide

00:14 Write the result without remainder above, paying attention to position

00:20 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

00:39 Write the result above

00:43 Multiply the result, subtract

00:48 We got a remainder of 0

00:51 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this problem, we'll perform long division:

**Step 1**: Write down the division as $133 \div 7$ .
**Step 2**: Start with the leading digit or first two digits, $13$ . Determine how many times 7 can fit into 13. The number 7 fits into 13 a total of 1 time.
**Step 3**: Multiply 1 by 7 to get 7, and subtract 7 from 13 to get a remainder of 6.
**Step 4**: Bring down the next digit, which is 3, making the number 63.
**Step 5**: Determine how many times 7 can fit into 63. The number 7 fits into 63 a total of 9 times.
**Step 6**: Multiply 9 by 7 to get 63. Subtract 63 from 63 to obtain a remainder of 0.

Therefore, the division results in $19$ with no remainder.

The solution to the problem is $19$ .

Final Answer

$19$

Key Points to Remember

Essential concepts to master this topic

Process: Divide, multiply, subtract, bring down next digit
Technique: 7 goes into 13 once (1×7=7), remainder 6
Check: Multiply quotient by divisor: $19 \times 7 = 133$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't stop after finding 7 goes into 13 once = incomplete quotient of just 1! You miss the remaining digits and get the wrong answer. Always bring down each digit systematically and continue dividing until no digits remain.

Practice Quiz

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FAQ

Everything you need to know about this question

What if 7 doesn't go into 13 evenly?

That's normal! When 7 goes into 13, you get 1 with remainder 6. Write down the 1, then bring down the next digit (3) to make 63, and continue dividing.

How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend and your remainder is 0. If there's still a remainder after all digits, you either have a remainder or need to add decimal places.

Why do I write the quotient above the dividend?

The quotient goes above because it shows the final answer clearly. Each digit of the quotient aligns with the corresponding digit you're working on in the dividend.

What does 'bring down' mean exactly?

Bring down means write the next digit from the dividend next to your remainder. So if your remainder is 6 and the next digit is 3, you write 63 and divide 63 by 7.

How can I check if my division is correct?

Multiply your quotient by the divisor: $19 \times 7$ . If you get back to your original dividend (133), your division is correct!

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