How to solve j ) 5699/78

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 j ) 5699/78 | Equatix

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Question

$$5699 \div 78$$

Evaluate

$\frac{5699}{78}\approx 73.064102564$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5699$

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)5699}\\\end{array}$$

Since $5$ is less than $78$, use the next digit $6$ from dividend $5699$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)5699}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $5699$

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)5699}\\\end{array}$$

Since $56$ is less than $78$, use the next digit $9$ from dividend $5699$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)5699}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $5699$

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)5699}\\\end{array}$$

Find closest multiple of $78$ to $569$. We see that $7 \times 78 = 546$ is the nearest. Now subtract $546$ from $569$ to get reminder $23$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{78)}007\phantom{6}\\78\overline{)5699}\\\phantom{78)}\underline{\phantom{}546\phantom{9}}\\\phantom{78)9}23\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $5699$

$$\begin{array}{l}\phantom{78)}007\phantom{7}\\78\overline{)5699}\\\phantom{78)}\underline{\phantom{}546\phantom{9}}\\\phantom{78)9}239\\\end{array}$$

Find closest multiple of $78$ to $239$. We see that $3 \times 78 = 234$ is the nearest. Now subtract $234$ from $239$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{78)}0073\phantom{8}\\78\overline{)5699}\\\phantom{78)}\underline{\phantom{}546\phantom{9}}\\\phantom{78)9}239\\\phantom{78)}\underline{\phantom{9}234\phantom{}}\\\phantom{78)999}5\\\end{array}$$

Since $5$ is less than $78$, stop the division. The reminder is $5$. The topmost line $0073$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $73$.

$$\text{Quotient: }73$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{41 \cdot 139}{2 \cdot 3 \cdot 13} = 73\frac{5}{78} = 73.06410256410257$