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Math

Math Snap

PROBLEM

63[4,42463[4,424

STEP 1

What is this asking?
How many times does 63 go into 4,424?
Basically, we're doing some good old-fashioned division!
Watch out!
Place values are super important here!
Keep those digits lined up neatly, or things could get messy.

STEP 2

1. Set up the division
2. Divide and conquer!

STEP 3

Let's write our division problem clearly: 4,424÷634,424 \div 63.
This sets the stage for our long division adventure!

STEP 4

63 doesn't go into 4, and it doesn't go into 44.
But it does go into 442!
Let's see, 636=37863 \cdot 6 = 378 seems like a good fit. 637=44163 \cdot 7 = 441 is even better!
Let's put a 7 above the 2 in 4424.

STEP 5

Now, subtract that 441 from 442, which leaves us with a 1.
Bring down the next digit, which is 4, to make 14.

STEP 6

How many times does 63 go into 14?
Zero times!
So, we put a 0 above the 4 in 4424.

STEP 7

Multiply 630=063 \cdot 0 = 0, and subtract that from 14.
This leaves us with 14.
Since there are no more digits to bring down, 14 is our remainder.

SOLUTION

So, 4,424÷63=704,424 \div 63 = 70 with a remainder of 14.
We can write this as 70146370 \frac{14}{63}.

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