How to solve a) 6238/28

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve a) 6238/28 | Equatix

Question

$$6238 \div 28$$

Evaluate

$\frac{3119}{14}\approx 222.785714286$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6238$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)6238}\\\end{array}$$

Since $6$ is less than $28$, use the next digit $2$ from dividend $6238$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)6238}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $6238$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)6238}\\\end{array}$$

Find closest multiple of $28$ to $62$. We see that $2 \times 28 = 56$ is the nearest. Now subtract $56$ from $62$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}6\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $6238$

$$\begin{array}{l}\phantom{28)}02\phantom{5}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\end{array}$$

Find closest multiple of $28$ to $63$. We see that $2 \times 28 = 56$ is the nearest. Now subtract $56$ from $63$ to get reminder $7$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{28)}022\phantom{6}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}7\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $6238$

$$\begin{array}{l}\phantom{28)}022\phantom{7}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}78\\\end{array}$$

Find closest multiple of $28$ to $78$. We see that $2 \times 28 = 56$ is the nearest. Now subtract $56$ from $78$ to get reminder $22$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{28)}0222\phantom{8}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}78\\\phantom{28)}\underline{\phantom{99}56\phantom{}}\\\phantom{28)99}22\\\end{array}$$

Since $22$ is less than $28$, stop the division. The reminder is $22$. The topmost line $0222$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $222$.

$$\text{Quotient: }222$$ $$\text{Reminder: }22$$

Show Solution

Factor

$\frac{3119}{2 \cdot 7} = 222\frac{11}{14} = 222.78571428571428$

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Steps For Long Division Method

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