How to solve 89696/45

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 89696/45 | Equatix

Question

$$89696/45$$

Evaluate

$\frac{89696}{45}\approx 1993.244444444$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $89696$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)89696}\\\end{array}$$

Since $8$ is less than $45$, use the next digit $9$ from dividend $89696$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)89696}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $89696$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)89696}\\\end{array}$$

Find closest multiple of $45$ to $89$. We see that $1 \times 45 = 45$ is the nearest. Now subtract $45$ from $89$ to get reminder $44$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}44\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $89696$

$$\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\end{array}$$

Find closest multiple of $45$ to $446$. We see that $9 \times 45 = 405$ is the nearest. Now subtract $405$ from $446$ to get reminder $41$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{45)}019\phantom{6}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\phantom{45)}\underline{\phantom{}405\phantom{99}}\\\phantom{45)9}41\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $89696$

$$\begin{array}{l}\phantom{45)}019\phantom{7}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\phantom{45)}\underline{\phantom{}405\phantom{99}}\\\phantom{45)9}419\\\end{array}$$

Find closest multiple of $45$ to $419$. We see that $9 \times 45 = 405$ is the nearest. Now subtract $405$ from $419$ to get reminder $14$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{45)}0199\phantom{8}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\phantom{45)}\underline{\phantom{}405\phantom{99}}\\\phantom{45)9}419\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}14\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $89696$

$$\begin{array}{l}\phantom{45)}0199\phantom{9}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\phantom{45)}\underline{\phantom{}405\phantom{99}}\\\phantom{45)9}419\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}146\\\end{array}$$

Find closest multiple of $45$ to $146$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $146$ to get reminder $11$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}01993\phantom{10}\\45\overline{)89696}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}446\\\phantom{45)}\underline{\phantom{}405\phantom{99}}\\\phantom{45)9}419\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}146\\\phantom{45)}\underline{\phantom{99}135\phantom{}}\\\phantom{45)999}11\\\end{array}$$

Since $11$ is less than $45$, stop the division. The reminder is $11$. The topmost line $01993$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1993$.

$$\text{Quotient: }1993$$ $$\text{Reminder: }11$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 2803}{3 ^ {2} \cdot 5} = 1993\frac{11}{45} = 1993.2444444444445$

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Steps For Long Division Method

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