Certainly! Let's go through the steps to solve the division [tex]\( 5 \div 4 \)[/tex] in a detailed manner.
### Step 1: Division
First, we'll perform the division:
[tex]\[ 5 \div 4 \][/tex]
To determine how many times 4 goes into 5, we start with the largest whole number.
#### Finding the Quotient:
4 goes into 5 one time completely, because:
[tex]\[ 4 \times 1 = 4 \][/tex]
So, the quotient is 1.
### Step 2: Multiplication and Subtraction
Next, we multiply the quotient by the divisor (which is 4) and subtract this product from 5:
[tex]\[ 5 - 4 = 1 \][/tex]
So, the remainder is 1.
### Combining the Quotient and Remainder:
From our division, we find that:
[tex]\[ 5 = 4 \times 1 + 1 \][/tex]
which can be written in the form:
[tex]\[ 5 \div 4 = 1 \text{ R } 1 \][/tex]
To express the division as a decimal:
[tex]\[ \frac{5}{4} = 1.25 \][/tex]
### Summary:
- The integer quotient is 1.
- The remainder is 1.
- The decimal result is 1.25.
Thus, the detailed result of dividing 5 by 4 is:
[tex]\[ \frac{5}{4} = 1 \text{ R } 1 \][/tex] with a decimal value of 1.25.
