To perform long division to find the quotient of \( 22 \div 5 \), follow these steps:
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Set up the division: Write \( 22 \) (the dividend) under the long division bracket and \( 5 \) (the divisor) outside.
______ 5 | 22 -
Determine how many times \( 5 \) goes into \( 22 \): Since \( 5 \times 4 = 20 \) and \( 5 \times 5 = 25 \), \( 5 \) goes into \( 22 \) four times.
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Multiply and subtract: Multiply \( 5 \) by \( 4 \) and write the result (which is \( 20 \)) under \( 22 \).
4 ______ 5 | 22 -20 ------ 2 -
Subtract: Subtract \( 20 \) from \( 22 \), which leaves \( 2 \).
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Check for remainders: Since \( 2 \) is less than \( 5 \), it cannot be divided further.
Thus, the quotient is \( 4 \) with a remainder of \( 2 \).
The result can be expressed as:
- Quotient: \( 4 \)
- Remainder: \( 2 \)
If you want to express this as a decimal, you can continue the division by adding a decimal point and a zero to the remainder, making it \( 2.0 \).
- Bring down the \( 0 \) making it \( 20 \).
- \( 5 \) goes into \( 20 \) exactly \( 4 \) times with no remainder.
So the full result is:
\[ 22 \div 5 = 4.4 \]
In conclusion, the answer to \( 22 \div 5 \) is \( 4 \) with a remainder of \( 2 \) or \( 4.4 \) in decimal form.