How to solve 53464880/3146

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 53464880/3146 | Equatix

Use the $1^{st}$ digit $5$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}\phantom{1}\\3146\overline{)53464880}\\\end{array}$$

Since $5$ is less than $3146$, use the next digit $3$ from dividend $53464880$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3146)}0\phantom{2}\\3146\overline{)53464880}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}0\phantom{3}\\3146\overline{)53464880}\\\end{array}$$

Since $53$ is less than $3146$, use the next digit $4$ from dividend $53464880$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3146)}00\phantom{4}\\3146\overline{)53464880}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}00\phantom{5}\\3146\overline{)53464880}\\\end{array}$$

Since $534$ is less than $3146$, use the next digit $6$ from dividend $53464880$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3146)}000\phantom{6}\\3146\overline{)53464880}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}000\phantom{7}\\3146\overline{)53464880}\\\end{array}$$

Find closest multiple of $3146$ to $5346$. We see that $1 \times 3146 = 3146$ is the nearest. Now subtract $3146$ from $5346$ to get reminder $2200$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{3146)}0001\phantom{8}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}2200\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}0001\phantom{9}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\end{array}$$

Find closest multiple of $3146$ to $22004$. We see that $6 \times 3146 = 18876$ is the nearest. Now subtract $18876$ from $22004$ to get reminder $3128$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{3146)}00016\phantom{10}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}3128\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}00016\phantom{11}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\end{array}$$

Find closest multiple of $3146$ to $31288$. We see that $9 \times 3146 = 28314$ is the nearest. Now subtract $28314$ from $31288$ to get reminder $2974$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{3146)}000169\phantom{12}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\phantom{3146)}\underline{\phantom{9}28314\phantom{99}}\\\phantom{3146)99}2974\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}000169\phantom{13}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\phantom{3146)}\underline{\phantom{9}28314\phantom{99}}\\\phantom{3146)99}29748\\\end{array}$$

Find closest multiple of $3146$ to $29748$. We see that $9 \times 3146 = 28314$ is the nearest. Now subtract $28314$ from $29748$ to get reminder $1434$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{3146)}0001699\phantom{14}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\phantom{3146)}\underline{\phantom{9}28314\phantom{99}}\\\phantom{3146)99}29748\\\phantom{3146)}\underline{\phantom{99}28314\phantom{9}}\\\phantom{3146)999}1434\\\end{array}$$

Use the $8^{th}$ digit $0$ from dividend $53464880$

$$\begin{array}{l}\phantom{3146)}0001699\phantom{15}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\phantom{3146)}\underline{\phantom{9}28314\phantom{99}}\\\phantom{3146)99}29748\\\phantom{3146)}\underline{\phantom{99}28314\phantom{9}}\\\phantom{3146)999}14340\\\end{array}$$

Find closest multiple of $3146$ to $14340$. We see that $4 \times 3146 = 12584$ is the nearest. Now subtract $12584$ from $14340$ to get reminder $1756$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{3146)}00016994\phantom{16}\\3146\overline{)53464880}\\\phantom{3146)}\underline{\phantom{}3146\phantom{9999}}\\\phantom{3146)}22004\\\phantom{3146)}\underline{\phantom{}18876\phantom{999}}\\\phantom{3146)9}31288\\\phantom{3146)}\underline{\phantom{9}28314\phantom{99}}\\\phantom{3146)99}29748\\\phantom{3146)}\underline{\phantom{99}28314\phantom{9}}\\\phantom{3146)999}14340\\\phantom{3146)}\underline{\phantom{999}12584\phantom{}}\\\phantom{3146)9999}1756\\\end{array}$$

Since $1756$ is less than $3146$, stop the division. The reminder is $1756$. The topmost line $00016994$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $16994$.

$$\text{Quotient: }16994$$ $$\text{Reminder: }1756$$

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