How to solve (5984123)/(64)

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 (5984123)/(64) | Equatix

Use the $1^{st}$ digit $5$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)5984123}\\\end{array}$$

Since $5$ is less than $64$, use the next digit $9$ from dividend $5984123$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)5984123}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)5984123}\\\end{array}$$

Since $59$ is less than $64$, use the next digit $8$ from dividend $5984123$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)5984123}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)5984123}\\\end{array}$$

Find closest multiple of $64$ to $598$. We see that $9 \times 64 = 576$ is the nearest. Now subtract $576$ from $598$ to get reminder $22$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{64)}009\phantom{6}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}22\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}009\phantom{7}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\end{array}$$

Find closest multiple of $64$ to $224$. We see that $3 \times 64 = 192$ is the nearest. Now subtract $192$ from $224$ to get reminder $32$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{64)}0093\phantom{8}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}32\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}0093\phantom{9}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\end{array}$$

Find closest multiple of $64$ to $321$. We see that $5 \times 64 = 320$ is the nearest. Now subtract $320$ from $321$ to get reminder $1$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{64)}00935\phantom{10}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\phantom{64)}\underline{\phantom{99}320\phantom{99}}\\\phantom{64)9999}1\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}00935\phantom{11}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\phantom{64)}\underline{\phantom{99}320\phantom{99}}\\\phantom{64)9999}12\\\end{array}$$

Since $12$ is less than $64$, use the next digit $3$ from dividend $5984123$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}009350\phantom{12}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\phantom{64)}\underline{\phantom{99}320\phantom{99}}\\\phantom{64)9999}12\\\end{array}$$

Use the $7^{th}$ digit $3$ from dividend $5984123$

$$\begin{array}{l}\phantom{64)}009350\phantom{13}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\phantom{64)}\underline{\phantom{99}320\phantom{99}}\\\phantom{64)9999}123\\\end{array}$$

Find closest multiple of $64$ to $123$. We see that $1 \times 64 = 64$ is the nearest. Now subtract $64$ from $123$ to get reminder $59$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{64)}0093501\phantom{14}\\64\overline{)5984123}\\\phantom{64)}\underline{\phantom{}576\phantom{9999}}\\\phantom{64)9}224\\\phantom{64)}\underline{\phantom{9}192\phantom{999}}\\\phantom{64)99}321\\\phantom{64)}\underline{\phantom{99}320\phantom{99}}\\\phantom{64)9999}123\\\phantom{64)}\underline{\phantom{99999}64\phantom{}}\\\phantom{64)99999}59\\\end{array}$$

Since $59$ is less than $64$, stop the division. The reminder is $59$. The topmost line $0093501$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $93501$.

$$\text{Quotient: }93501$$ $$\text{Reminder: }59$$

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