How to solve (375342)/(203)

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 (375342)/(203) | Equatix

Question

$$\frac{ 375342 }{ 203 }$$

Evaluate

$\frac{375342}{203}\approx 1848.975369458$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}\phantom{1}\\203\overline{)375342}\\\end{array}$$

Since $3$ is less than $203$, use the next digit $7$ from dividend $375342$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{203)}0\phantom{2}\\203\overline{)375342}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}0\phantom{3}\\203\overline{)375342}\\\end{array}$$

Since $37$ is less than $203$, use the next digit $5$ from dividend $375342$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{203)}00\phantom{4}\\203\overline{)375342}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}00\phantom{5}\\203\overline{)375342}\\\end{array}$$

Find closest multiple of $203$ to $375$. We see that $1 \times 203 = 203$ is the nearest. Now subtract $203$ from $375$ to get reminder $172$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{203)}001\phantom{6}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}172\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}001\phantom{7}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\end{array}$$

Find closest multiple of $203$ to $1723$. We see that $8 \times 203 = 1624$ is the nearest. Now subtract $1624$ from $1723$ to get reminder $99$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{203)}0018\phantom{8}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\phantom{203)}\underline{\phantom{}1624\phantom{99}}\\\phantom{203)99}99\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}0018\phantom{9}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\phantom{203)}\underline{\phantom{}1624\phantom{99}}\\\phantom{203)99}994\\\end{array}$$

Find closest multiple of $203$ to $994$. We see that $4 \times 203 = 812$ is the nearest. Now subtract $812$ from $994$ to get reminder $182$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{203)}00184\phantom{10}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\phantom{203)}\underline{\phantom{}1624\phantom{99}}\\\phantom{203)99}994\\\phantom{203)}\underline{\phantom{99}812\phantom{9}}\\\phantom{203)99}182\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $375342$

$$\begin{array}{l}\phantom{203)}00184\phantom{11}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\phantom{203)}\underline{\phantom{}1624\phantom{99}}\\\phantom{203)99}994\\\phantom{203)}\underline{\phantom{99}812\phantom{9}}\\\phantom{203)99}1822\\\end{array}$$

Find closest multiple of $203$ to $1822$. We see that $8 \times 203 = 1624$ is the nearest. Now subtract $1624$ from $1822$ to get reminder $198$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{203)}001848\phantom{12}\\203\overline{)375342}\\\phantom{203)}\underline{\phantom{}203\phantom{999}}\\\phantom{203)}1723\\\phantom{203)}\underline{\phantom{}1624\phantom{99}}\\\phantom{203)99}994\\\phantom{203)}\underline{\phantom{99}812\phantom{9}}\\\phantom{203)99}1822\\\phantom{203)}\underline{\phantom{99}1624\phantom{}}\\\phantom{203)999}198\\\end{array}$$

Since $198$ is less than $203$, stop the division. The reminder is $198$. The topmost line $001848$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1848$.

$$\text{Quotient: }1848$$ $$\text{Reminder: }198$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 11 ^ {3} \cdot 47}{7 \cdot 29} = 1848\frac{198}{203} = 1848.9753694581282$

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Steps For Long Division Method

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