Math  /  Numbers & Operations

Question57÷657 \div 6
Quotient: Remainder:

Studdy Solution

STEP 1

What is this asking? How many times does 66 go into 5757, and what's left over? Watch out! Don't mix up the quotient (the number of times 66 goes into 5757) and the remainder (what's left over).

STEP 2

1. Divide
2. Find the Remainder

STEP 3

Alright, let's **divide** 5757 by 66!
Think of it like this: how many groups of 66 can we make out of 5757?

STEP 4

We know that 69=546 \cdot 9 = 54, which is pretty close to 5757.
So, 66 goes into 5757 **nine** times!
This **nine** is our **quotient**!
Write that down!
576=9\frac{57}{6} = 9

STEP 5

Now, we've got 99 groups of 66, which is 96=549 \cdot 6 = 54.
But we started with 5757.
So, what's the difference between where we started (5757) and where we ended up (5454)?

STEP 6

That's right, 5754=357 - 54 = 3!
This **three** is our **remainder**!
It's what's left over after we've made all our groups of 66.
5754=357 - 54 = 3

STEP 7

Quotient: 99 Remainder: 33

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