How to solve 1237654/1042

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 1237654/1042 | Equatix

Use the $1^{st}$ digit $1$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}\phantom{1}\\1042\overline{)1237654}\\\end{array}$$

Since $1$ is less than $1042$, use the next digit $2$ from dividend $1237654$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1042)}0\phantom{2}\\1042\overline{)1237654}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}0\phantom{3}\\1042\overline{)1237654}\\\end{array}$$

Since $12$ is less than $1042$, use the next digit $3$ from dividend $1237654$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1042)}00\phantom{4}\\1042\overline{)1237654}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}00\phantom{5}\\1042\overline{)1237654}\\\end{array}$$

Since $123$ is less than $1042$, use the next digit $7$ from dividend $1237654$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1042)}000\phantom{6}\\1042\overline{)1237654}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}000\phantom{7}\\1042\overline{)1237654}\\\end{array}$$

Find closest multiple of $1042$ to $1237$. We see that $1 \times 1042 = 1042$ is the nearest. Now subtract $1042$ from $1237$ to get reminder $195$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{1042)}0001\phantom{8}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}195\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}0001\phantom{9}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\end{array}$$

Find closest multiple of $1042$ to $1956$. We see that $1 \times 1042 = 1042$ is the nearest. Now subtract $1042$ from $1956$ to get reminder $914$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{1042)}00011\phantom{10}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\phantom{1042)}\underline{\phantom{9}1042\phantom{99}}\\\phantom{1042)99}914\\\end{array}$$

Use the $6^{th}$ digit $5$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}00011\phantom{11}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\phantom{1042)}\underline{\phantom{9}1042\phantom{99}}\\\phantom{1042)99}9145\\\end{array}$$

Find closest multiple of $1042$ to $9145$. We see that $8 \times 1042 = 8336$ is the nearest. Now subtract $8336$ from $9145$ to get reminder $809$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{1042)}000118\phantom{12}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\phantom{1042)}\underline{\phantom{9}1042\phantom{99}}\\\phantom{1042)99}9145\\\phantom{1042)}\underline{\phantom{99}8336\phantom{9}}\\\phantom{1042)999}809\\\end{array}$$

Use the $7^{th}$ digit $4$ from dividend $1237654$

$$\begin{array}{l}\phantom{1042)}000118\phantom{13}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\phantom{1042)}\underline{\phantom{9}1042\phantom{99}}\\\phantom{1042)99}9145\\\phantom{1042)}\underline{\phantom{99}8336\phantom{9}}\\\phantom{1042)999}8094\\\end{array}$$

Find closest multiple of $1042$ to $8094$. We see that $7 \times 1042 = 7294$ is the nearest. Now subtract $7294$ from $8094$ to get reminder $800$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{1042)}0001187\phantom{14}\\1042\overline{)1237654}\\\phantom{1042)}\underline{\phantom{}1042\phantom{999}}\\\phantom{1042)9}1956\\\phantom{1042)}\underline{\phantom{9}1042\phantom{99}}\\\phantom{1042)99}9145\\\phantom{1042)}\underline{\phantom{99}8336\phantom{9}}\\\phantom{1042)999}8094\\\phantom{1042)}\underline{\phantom{999}7294\phantom{}}\\\phantom{1042)9999}800\\\end{array}$$

Since $800$ is less than $1042$, stop the division. The reminder is $800$. The topmost line $0001187$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1187$.

$$\text{Quotient: }1187$$ $$\text{Reminder: }800$$

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