How to solve (83254)/(58)

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 (83254)/(58) | Equatix

Question

$$\frac{ 83254 }{ 58 }$$

Evaluate

$\frac{41627}{29}\approx 1435.413793103$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $83254$

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)83254}\\\end{array}$$

Since $8$ is less than $58$, use the next digit $3$ from dividend $83254$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)83254}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $83254$

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)83254}\\\end{array}$$

Find closest multiple of $58$ to $83$. We see that $1 \times 58 = 58$ is the nearest. Now subtract $58$ from $83$ to get reminder $25$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{58)}01\phantom{4}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}25\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $83254$

$$\begin{array}{l}\phantom{58)}01\phantom{5}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\end{array}$$

Find closest multiple of $58$ to $252$. We see that $4 \times 58 = 232$ is the nearest. Now subtract $232$ from $252$ to get reminder $20$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{58)}014\phantom{6}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\phantom{58)}\underline{\phantom{}232\phantom{99}}\\\phantom{58)9}20\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $83254$

$$\begin{array}{l}\phantom{58)}014\phantom{7}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\phantom{58)}\underline{\phantom{}232\phantom{99}}\\\phantom{58)9}205\\\end{array}$$

Find closest multiple of $58$ to $205$. We see that $3 \times 58 = 174$ is the nearest. Now subtract $174$ from $205$ to get reminder $31$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{58)}0143\phantom{8}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\phantom{58)}\underline{\phantom{}232\phantom{99}}\\\phantom{58)9}205\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)99}31\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $83254$

$$\begin{array}{l}\phantom{58)}0143\phantom{9}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\phantom{58)}\underline{\phantom{}232\phantom{99}}\\\phantom{58)9}205\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)99}314\\\end{array}$$

Find closest multiple of $58$ to $314$. We see that $5 \times 58 = 290$ is the nearest. Now subtract $290$ from $314$ to get reminder $24$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{58)}01435\phantom{10}\\58\overline{)83254}\\\phantom{58)}\underline{\phantom{}58\phantom{999}}\\\phantom{58)}252\\\phantom{58)}\underline{\phantom{}232\phantom{99}}\\\phantom{58)9}205\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)99}314\\\phantom{58)}\underline{\phantom{99}290\phantom{}}\\\phantom{58)999}24\\\end{array}$$

Since $24$ is less than $58$, stop the division. The reminder is $24$. The topmost line $01435$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1435$.

$$\text{Quotient: }1435$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{41627}{29} = 1435\frac{12}{29} = 1435.4137931034484$

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Steps For Long Division Method

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