How to solve (6303)/(75)

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 (6303)/(75) | Equatix

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Question

$$\frac{ 6303 }{ 75 }$$

Evaluate

$\frac{2101}{25}=84.04$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6303$

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)6303}\\\end{array}$$

Since $6$ is less than $75$, use the next digit $3$ from dividend $6303$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)6303}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $6303$

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)6303}\\\end{array}$$

Since $63$ is less than $75$, use the next digit $0$ from dividend $6303$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)6303}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $6303$

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)6303}\\\end{array}$$

Find closest multiple of $75$ to $630$. We see that $8 \times 75 = 600$ is the nearest. Now subtract $600$ from $630$ to get reminder $30$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{75)}008\phantom{6}\\75\overline{)6303}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}30\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $6303$

$$\begin{array}{l}\phantom{75)}008\phantom{7}\\75\overline{)6303}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}303\\\end{array}$$

Find closest multiple of $75$ to $303$. We see that $4 \times 75 = 300$ is the nearest. Now subtract $300$ from $303$ to get reminder $3$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{75)}0084\phantom{8}\\75\overline{)6303}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}303\\\phantom{75)}\underline{\phantom{9}300\phantom{}}\\\phantom{75)999}3\\\end{array}$$

Since $3$ is less than $75$, stop the division. The reminder is $3$. The topmost line $0084$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $84$.

$$\text{Quotient: }84$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{11 \cdot 191}{5 ^ {2}} = 84\frac{1}{25} = 84.04$