How to solve 614796/1126

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 614796/1126 | Equatix

Use the $1^{st}$ digit $6$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}\phantom{1}\\1126\overline{)614796}\\\end{array}$$

Since $6$ is less than $1126$, use the next digit $1$ from dividend $614796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1126)}0\phantom{2}\\1126\overline{)614796}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}0\phantom{3}\\1126\overline{)614796}\\\end{array}$$

Since $61$ is less than $1126$, use the next digit $4$ from dividend $614796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1126)}00\phantom{4}\\1126\overline{)614796}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}00\phantom{5}\\1126\overline{)614796}\\\end{array}$$

Since $614$ is less than $1126$, use the next digit $7$ from dividend $614796$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1126)}000\phantom{6}\\1126\overline{)614796}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}000\phantom{7}\\1126\overline{)614796}\\\end{array}$$

Find closest multiple of $1126$ to $6147$. We see that $5 \times 1126 = 5630$ is the nearest. Now subtract $5630$ from $6147$ to get reminder $517$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{1126)}0005\phantom{8}\\1126\overline{)614796}\\\phantom{1126)}\underline{\phantom{}5630\phantom{99}}\\\phantom{1126)9}517\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}0005\phantom{9}\\1126\overline{)614796}\\\phantom{1126)}\underline{\phantom{}5630\phantom{99}}\\\phantom{1126)9}5179\\\end{array}$$

Find closest multiple of $1126$ to $5179$. We see that $4 \times 1126 = 4504$ is the nearest. Now subtract $4504$ from $5179$ to get reminder $675$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{1126)}00054\phantom{10}\\1126\overline{)614796}\\\phantom{1126)}\underline{\phantom{}5630\phantom{99}}\\\phantom{1126)9}5179\\\phantom{1126)}\underline{\phantom{9}4504\phantom{9}}\\\phantom{1126)99}675\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $614796$

$$\begin{array}{l}\phantom{1126)}00054\phantom{11}\\1126\overline{)614796}\\\phantom{1126)}\underline{\phantom{}5630\phantom{99}}\\\phantom{1126)9}5179\\\phantom{1126)}\underline{\phantom{9}4504\phantom{9}}\\\phantom{1126)99}6756\\\end{array}$$

Find closest multiple of $1126$ to $6756$. We see that $6 \times 1126 = 6756$ is the nearest. Now subtract $6756$ from $6756$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{1126)}000546\phantom{12}\\1126\overline{)614796}\\\phantom{1126)}\underline{\phantom{}5630\phantom{99}}\\\phantom{1126)9}5179\\\phantom{1126)}\underline{\phantom{9}4504\phantom{9}}\\\phantom{1126)99}6756\\\phantom{1126)}\underline{\phantom{99}6756\phantom{}}\\\phantom{1126)999999}0\\\end{array}$$

Since $0$ is less than $1126$, stop the division. The reminder is $0$. The topmost line $000546$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $546$.

$$\text{Quotient: }546$$ $$\text{Reminder: }0$$

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