How to solve 235676/35

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 235676/35 | Equatix

Use the $1^{st}$ digit $2$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)235676}\\\end{array}$$

Since $2$ is less than $35$, use the next digit $3$ from dividend $235676$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)235676}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)235676}\\\end{array}$$

Since $23$ is less than $35$, use the next digit $5$ from dividend $235676$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)235676}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)235676}\\\end{array}$$

Find closest multiple of $35$ to $235$. We see that $6 \times 35 = 210$ is the nearest. Now subtract $210$ from $235$ to get reminder $25$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{35)}006\phantom{6}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}25\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}006\phantom{7}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\end{array}$$

Find closest multiple of $35$ to $256$. We see that $7 \times 35 = 245$ is the nearest. Now subtract $245$ from $256$ to get reminder $11$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{35)}0067\phantom{8}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\phantom{35)}\underline{\phantom{9}245\phantom{99}}\\\phantom{35)99}11\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}0067\phantom{9}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\phantom{35)}\underline{\phantom{9}245\phantom{99}}\\\phantom{35)99}117\\\end{array}$$

Find closest multiple of $35$ to $117$. We see that $3 \times 35 = 105$ is the nearest. Now subtract $105$ from $117$ to get reminder $12$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{35)}00673\phantom{10}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\phantom{35)}\underline{\phantom{9}245\phantom{99}}\\\phantom{35)99}117\\\phantom{35)}\underline{\phantom{99}105\phantom{9}}\\\phantom{35)999}12\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $235676$

$$\begin{array}{l}\phantom{35)}00673\phantom{11}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\phantom{35)}\underline{\phantom{9}245\phantom{99}}\\\phantom{35)99}117\\\phantom{35)}\underline{\phantom{99}105\phantom{9}}\\\phantom{35)999}126\\\end{array}$$

Find closest multiple of $35$ to $126$. We see that $3 \times 35 = 105$ is the nearest. Now subtract $105$ from $126$ to get reminder $21$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{35)}006733\phantom{12}\\35\overline{)235676}\\\phantom{35)}\underline{\phantom{}210\phantom{999}}\\\phantom{35)9}256\\\phantom{35)}\underline{\phantom{9}245\phantom{99}}\\\phantom{35)99}117\\\phantom{35)}\underline{\phantom{99}105\phantom{9}}\\\phantom{35)999}126\\\phantom{35)}\underline{\phantom{999}105\phantom{}}\\\phantom{35)9999}21\\\end{array}$$

Since $21$ is less than $35$, stop the division. The reminder is $21$. The topmost line $006733$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6733$.

$$\text{Quotient: }6733$$ $$\text{Reminder: }21$$

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