How to solve 876954/155

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 876954/155 | Equatix

Question

$$876954\div155$$

Evaluate

$\frac{876954}{155}\approx 5657.767741935$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}\phantom{1}\\155\overline{)876954}\\\end{array}$$

Since $8$ is less than $155$, use the next digit $7$ from dividend $876954$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{155)}0\phantom{2}\\155\overline{)876954}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}0\phantom{3}\\155\overline{)876954}\\\end{array}$$

Since $87$ is less than $155$, use the next digit $6$ from dividend $876954$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{155)}00\phantom{4}\\155\overline{)876954}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}00\phantom{5}\\155\overline{)876954}\\\end{array}$$

Find closest multiple of $155$ to $876$. We see that $5 \times 155 = 775$ is the nearest. Now subtract $775$ from $876$ to get reminder $101$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{155)}005\phantom{6}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}101\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}005\phantom{7}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\end{array}$$

Find closest multiple of $155$ to $1019$. We see that $6 \times 155 = 930$ is the nearest. Now subtract $930$ from $1019$ to get reminder $89$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{155)}0056\phantom{8}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\phantom{155)}\underline{\phantom{9}930\phantom{99}}\\\phantom{155)99}89\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}0056\phantom{9}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\phantom{155)}\underline{\phantom{9}930\phantom{99}}\\\phantom{155)99}895\\\end{array}$$

Find closest multiple of $155$ to $895$. We see that $5 \times 155 = 775$ is the nearest. Now subtract $775$ from $895$ to get reminder $120$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{155)}00565\phantom{10}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\phantom{155)}\underline{\phantom{9}930\phantom{99}}\\\phantom{155)99}895\\\phantom{155)}\underline{\phantom{99}775\phantom{9}}\\\phantom{155)99}120\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $876954$

$$\begin{array}{l}\phantom{155)}00565\phantom{11}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\phantom{155)}\underline{\phantom{9}930\phantom{99}}\\\phantom{155)99}895\\\phantom{155)}\underline{\phantom{99}775\phantom{9}}\\\phantom{155)99}1204\\\end{array}$$

Find closest multiple of $155$ to $1204$. We see that $7 \times 155 = 1085$ is the nearest. Now subtract $1085$ from $1204$ to get reminder $119$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{155)}005657\phantom{12}\\155\overline{)876954}\\\phantom{155)}\underline{\phantom{}775\phantom{999}}\\\phantom{155)}1019\\\phantom{155)}\underline{\phantom{9}930\phantom{99}}\\\phantom{155)99}895\\\phantom{155)}\underline{\phantom{99}775\phantom{9}}\\\phantom{155)99}1204\\\phantom{155)}\underline{\phantom{99}1085\phantom{}}\\\phantom{155)999}119\\\end{array}$$

Since $119$ is less than $155$, stop the division. The reminder is $119$. The topmost line $005657$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5657$.

$$\text{Quotient: }5657$$ $$\text{Reminder: }119$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 13 \cdot 11243}{5 \cdot 31} = 5657\frac{119}{155} = 5657.767741935484$

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Steps For Long Division Method

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