How to solve (58746)/(38)

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 (58746)/(38) | Equatix

Question

$$\frac{ 58746 }{ 38 }$$

Evaluate

$\frac{29373}{19}\approx 1545.947368421$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $58746$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)58746}\\\end{array}$$

Since $5$ is less than $38$, use the next digit $8$ from dividend $58746$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)58746}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $58746$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)58746}\\\end{array}$$

Find closest multiple of $38$ to $58$. We see that $1 \times 38 = 38$ is the nearest. Now subtract $38$ from $58$ to get reminder $20$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{38)}01\phantom{4}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}20\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $58746$

$$\begin{array}{l}\phantom{38)}01\phantom{5}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\end{array}$$

Find closest multiple of $38$ to $207$. We see that $5 \times 38 = 190$ is the nearest. Now subtract $190$ from $207$ to get reminder $17$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{38)}015\phantom{6}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\phantom{38)}\underline{\phantom{}190\phantom{99}}\\\phantom{38)9}17\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $58746$

$$\begin{array}{l}\phantom{38)}015\phantom{7}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\phantom{38)}\underline{\phantom{}190\phantom{99}}\\\phantom{38)9}174\\\end{array}$$

Find closest multiple of $38$ to $174$. We see that $4 \times 38 = 152$ is the nearest. Now subtract $152$ from $174$ to get reminder $22$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{38)}0154\phantom{8}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\phantom{38)}\underline{\phantom{}190\phantom{99}}\\\phantom{38)9}174\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)99}22\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $58746$

$$\begin{array}{l}\phantom{38)}0154\phantom{9}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\phantom{38)}\underline{\phantom{}190\phantom{99}}\\\phantom{38)9}174\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)99}226\\\end{array}$$

Find closest multiple of $38$ to $226$. We see that $5 \times 38 = 190$ is the nearest. Now subtract $190$ from $226$ to get reminder $36$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{38)}01545\phantom{10}\\38\overline{)58746}\\\phantom{38)}\underline{\phantom{}38\phantom{999}}\\\phantom{38)}207\\\phantom{38)}\underline{\phantom{}190\phantom{99}}\\\phantom{38)9}174\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)99}226\\\phantom{38)}\underline{\phantom{99}190\phantom{}}\\\phantom{38)999}36\\\end{array}$$

Since $36$ is less than $38$, stop the division. The reminder is $36$. The topmost line $01545$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1545$.

$$\text{Quotient: }1545$$ $$\text{Reminder: }36$$

Show Solution

Factor

$\frac{3 \cdot 9791}{19} = 1545\frac{18}{19} = 1545.9473684210527$

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Steps For Long Division Method

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