How to solve 84500/83

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 84500/83 | Equatix

Question

$$84500\div83$$

Evaluate

$\frac{84500}{83}\approx 1018.072289157$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $84500$

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)84500}\\\end{array}$$

Since $8$ is less than $83$, use the next digit $4$ from dividend $84500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)84500}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $84500$

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)84500}\\\end{array}$$

Find closest multiple of $83$ to $84$. We see that $1 \times 83 = 83$ is the nearest. Now subtract $83$ from $84$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{83)}01\phantom{4}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}1\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $84500$

$$\begin{array}{l}\phantom{83)}01\phantom{5}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}15\\\end{array}$$

Since $15$ is less than $83$, use the next digit $0$ from dividend $84500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}010\phantom{6}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}15\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $84500$

$$\begin{array}{l}\phantom{83)}010\phantom{7}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}150\\\end{array}$$

Find closest multiple of $83$ to $150$. We see that $1 \times 83 = 83$ is the nearest. Now subtract $83$ from $150$ to get reminder $67$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{83)}0101\phantom{8}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}150\\\phantom{83)}\underline{\phantom{99}83\phantom{9}}\\\phantom{83)99}67\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $84500$

$$\begin{array}{l}\phantom{83)}0101\phantom{9}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}150\\\phantom{83)}\underline{\phantom{99}83\phantom{9}}\\\phantom{83)99}670\\\end{array}$$

Find closest multiple of $83$ to $670$. We see that $8 \times 83 = 664$ is the nearest. Now subtract $664$ from $670$ to get reminder $6$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{83)}01018\phantom{10}\\83\overline{)84500}\\\phantom{83)}\underline{\phantom{}83\phantom{999}}\\\phantom{83)9}150\\\phantom{83)}\underline{\phantom{99}83\phantom{9}}\\\phantom{83)99}670\\\phantom{83)}\underline{\phantom{99}664\phantom{}}\\\phantom{83)9999}6\\\end{array}$$

Since $6$ is less than $83$, stop the division. The reminder is $6$. The topmost line $01018$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1018$.

$$\text{Quotient: }1018$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {3} \cdot 13 ^ {2}}{83} = 1018\frac{6}{83} = 1018.0722891566265$

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Steps For Long Division Method

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