Math / Numbers & Operations

Question6b Complete the short division to find $12.378 \div 6$

Studdy Solution

STEP 1

What is this asking? We need to divide the decimal number $12.378$ by $6$ using short division. Watch out! Keep track of your decimal point and make sure to carry over remainders correctly!

STEP 2

1. Set up the short division.
2. Divide the whole number part.
3. Divide the decimal part.
4. Combine and finalize.

STEP 3

Alright, let's set up our short division!
We place the dividend, $12.378$ , inside the division bracket and the divisor, $6$ , outside.
It looks like this: $6 \,\overline{) \, 12.378}$

STEP 4

First, we look at the whole number part of our dividend, which is $12$ .
How many times does $6$ go into $12$ ?
It goes in $2$ times perfectly! $6 \cdot 2 = 12$ .
We write the $2$ above the division bracket, right above the $2$ in $12$ : $\begin{array}{r} 2 \\ 6 \overline{) 12.378} \\ \end{array}$

STEP 5

Now, bring down the $3$ .
We now have $3$ .
How many times does $6$ go into $3$ ? $6$ doesn't go into $3$ fully.
It goes in $0$ times.
So, we write $0$ above the $3$ : $\begin{array}{r} 2.0 \\ 6 \ \overline{) \ 12.378} \\ \end{array}$

STEP 6

Since $6$ goes into $3$ zero times, we have a remainder of $3$ .
We now bring down the next digit, $7$ , to make $37$ .
How many times does $6$ go into $37$ ? $6$ goes into $37$ $6$ times, because $6 \cdot 6 = 36$ .
We write the $6$ above the $7$ : $\begin{array}{r} 2.06 \\ 6 \overline{) 12.378} \\ \end{array}$

STEP 7

$37 - 36 = 1$ , so we have a remainder of $1$ .
Bring down the $8$ to make $18$ .
How many times does $6$ go into $18$ ?
It goes in exactly $3$ times! $6 \cdot 3 = 18$ .
Write the $3$ above the $8$ : $\begin{array}{r} 2.063 \\ 6 \, \overline{) \, 12.378} \\ \end{array}$

STEP 8

We've reached the end!
Putting it all together, we get our final answer: $12.378 \div 6 = 2.063$ .
Amazing!

STEP 9

$12.378 \div 6 = 2.063$

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