How to solve 526002/374

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 526002/374 | Equatix

Question

$$526002\div374$$

Evaluate

$\frac{263001}{187}\approx 1406.422459893$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}\phantom{1}\\374\overline{)526002}\\\end{array}$$

Since $5$ is less than $374$, use the next digit $2$ from dividend $526002$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{374)}0\phantom{2}\\374\overline{)526002}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}0\phantom{3}\\374\overline{)526002}\\\end{array}$$

Since $52$ is less than $374$, use the next digit $6$ from dividend $526002$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{374)}00\phantom{4}\\374\overline{)526002}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}00\phantom{5}\\374\overline{)526002}\\\end{array}$$

Find closest multiple of $374$ to $526$. We see that $1 \times 374 = 374$ is the nearest. Now subtract $374$ from $526$ to get reminder $152$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{374)}001\phantom{6}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}152\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}001\phantom{7}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\end{array}$$

Find closest multiple of $374$ to $1520$. We see that $4 \times 374 = 1496$ is the nearest. Now subtract $1496$ from $1520$ to get reminder $24$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{374)}0014\phantom{8}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\phantom{374)}\underline{\phantom{}1496\phantom{99}}\\\phantom{374)99}24\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}0014\phantom{9}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\phantom{374)}\underline{\phantom{}1496\phantom{99}}\\\phantom{374)99}240\\\end{array}$$

Since $240$ is less than $374$, use the next digit $2$ from dividend $526002$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{374)}00140\phantom{10}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\phantom{374)}\underline{\phantom{}1496\phantom{99}}\\\phantom{374)99}240\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $526002$

$$\begin{array}{l}\phantom{374)}00140\phantom{11}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\phantom{374)}\underline{\phantom{}1496\phantom{99}}\\\phantom{374)99}2402\\\end{array}$$

Find closest multiple of $374$ to $2402$. We see that $6 \times 374 = 2244$ is the nearest. Now subtract $2244$ from $2402$ to get reminder $158$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{374)}001406\phantom{12}\\374\overline{)526002}\\\phantom{374)}\underline{\phantom{}374\phantom{999}}\\\phantom{374)}1520\\\phantom{374)}\underline{\phantom{}1496\phantom{99}}\\\phantom{374)99}2402\\\phantom{374)}\underline{\phantom{99}2244\phantom{}}\\\phantom{374)999}158\\\end{array}$$

Since $158$ is less than $374$, stop the division. The reminder is $158$. The topmost line $001406$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1406$.

$$\text{Quotient: }1406$$ $$\text{Reminder: }158$$

Show Solution

Factor

$\frac{3 \cdot 29 \cdot 3023}{11 \cdot 17} = 1406\frac{79}{187} = 1406.4224598930482$

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Steps For Long Division Method

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