How to solve 18976439/35

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 18976439/35 | Equatix

Use the $1^{st}$ digit $1$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)18976439}\\\end{array}$$

Since $1$ is less than $35$, use the next digit $8$ from dividend $18976439$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)18976439}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)18976439}\\\end{array}$$

Since $18$ is less than $35$, use the next digit $9$ from dividend $18976439$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)18976439}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)18976439}\\\end{array}$$

Find closest multiple of $35$ to $189$. We see that $5 \times 35 = 175$ is the nearest. Now subtract $175$ from $189$ to get reminder $14$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{35)}005\phantom{6}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}14\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}005\phantom{7}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\end{array}$$

Find closest multiple of $35$ to $147$. We see that $4 \times 35 = 140$ is the nearest. Now subtract $140$ from $147$ to get reminder $7$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{35)}0054\phantom{8}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}7\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}0054\phantom{9}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\end{array}$$

Find closest multiple of $35$ to $76$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $76$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}00542\phantom{10}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}6\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}00542\phantom{11}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\end{array}$$

Find closest multiple of $35$ to $64$. We see that $1 \times 35 = 35$ is the nearest. Now subtract $35$ from $64$ to get reminder $29$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{35)}005421\phantom{12}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\phantom{35)}\underline{\phantom{9999}35\phantom{99}}\\\phantom{35)9999}29\\\end{array}$$

Use the $7^{th}$ digit $3$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}005421\phantom{13}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\phantom{35)}\underline{\phantom{9999}35\phantom{99}}\\\phantom{35)9999}293\\\end{array}$$

Find closest multiple of $35$ to $293$. We see that $8 \times 35 = 280$ is the nearest. Now subtract $280$ from $293$ to get reminder $13$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{35)}0054218\phantom{14}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\phantom{35)}\underline{\phantom{9999}35\phantom{99}}\\\phantom{35)9999}293\\\phantom{35)}\underline{\phantom{9999}280\phantom{9}}\\\phantom{35)99999}13\\\end{array}$$

Use the $8^{th}$ digit $9$ from dividend $18976439$

$$\begin{array}{l}\phantom{35)}0054218\phantom{15}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\phantom{35)}\underline{\phantom{9999}35\phantom{99}}\\\phantom{35)9999}293\\\phantom{35)}\underline{\phantom{9999}280\phantom{9}}\\\phantom{35)99999}139\\\end{array}$$

Find closest multiple of $35$ to $139$. We see that $3 \times 35 = 105$ is the nearest. Now subtract $105$ from $139$ to get reminder $34$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{35)}00542183\phantom{16}\\35\overline{)18976439}\\\phantom{35)}\underline{\phantom{}175\phantom{99999}}\\\phantom{35)9}147\\\phantom{35)}\underline{\phantom{9}140\phantom{9999}}\\\phantom{35)999}76\\\phantom{35)}\underline{\phantom{999}70\phantom{999}}\\\phantom{35)9999}64\\\phantom{35)}\underline{\phantom{9999}35\phantom{99}}\\\phantom{35)9999}293\\\phantom{35)}\underline{\phantom{9999}280\phantom{9}}\\\phantom{35)99999}139\\\phantom{35)}\underline{\phantom{99999}105\phantom{}}\\\phantom{35)999999}34\\\end{array}$$

Since $34$ is less than $35$, stop the division. The reminder is $34$. The topmost line $00542183$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $542183$.

$$\text{Quotient: }542183$$ $$\text{Reminder: }34$$

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