How to solve 536454/48

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 536454/48 | Equatix

Use the $1^{st}$ digit $5$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)536454}\\\end{array}$$

Since $5$ is less than $48$, use the next digit $3$ from dividend $536454$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)536454}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)536454}\\\end{array}$$

Find closest multiple of $48$ to $53$. We see that $1 \times 48 = 48$ is the nearest. Now subtract $48$ from $53$ to get reminder $5$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}5\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}01\phantom{5}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\end{array}$$

Find closest multiple of $48$ to $56$. We see that $1 \times 48 = 48$ is the nearest. Now subtract $48$ from $56$ to get reminder $8$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{48)}011\phantom{6}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}8\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}011\phantom{7}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\end{array}$$

Find closest multiple of $48$ to $84$. We see that $1 \times 48 = 48$ is the nearest. Now subtract $48$ from $84$ to get reminder $36$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{48)}0111\phantom{8}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\phantom{48)}\underline{\phantom{99}48\phantom{99}}\\\phantom{48)99}36\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}0111\phantom{9}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\phantom{48)}\underline{\phantom{99}48\phantom{99}}\\\phantom{48)99}365\\\end{array}$$

Find closest multiple of $48$ to $365$. We see that $7 \times 48 = 336$ is the nearest. Now subtract $336$ from $365$ to get reminder $29$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{48)}01117\phantom{10}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\phantom{48)}\underline{\phantom{99}48\phantom{99}}\\\phantom{48)99}365\\\phantom{48)}\underline{\phantom{99}336\phantom{9}}\\\phantom{48)999}29\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $536454$

$$\begin{array}{l}\phantom{48)}01117\phantom{11}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\phantom{48)}\underline{\phantom{99}48\phantom{99}}\\\phantom{48)99}365\\\phantom{48)}\underline{\phantom{99}336\phantom{9}}\\\phantom{48)999}294\\\end{array}$$

Find closest multiple of $48$ to $294$. We see that $6 \times 48 = 288$ is the nearest. Now subtract $288$ from $294$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{48)}011176\phantom{12}\\48\overline{)536454}\\\phantom{48)}\underline{\phantom{}48\phantom{9999}}\\\phantom{48)9}56\\\phantom{48)}\underline{\phantom{9}48\phantom{999}}\\\phantom{48)99}84\\\phantom{48)}\underline{\phantom{99}48\phantom{99}}\\\phantom{48)99}365\\\phantom{48)}\underline{\phantom{99}336\phantom{9}}\\\phantom{48)999}294\\\phantom{48)}\underline{\phantom{999}288\phantom{}}\\\phantom{48)99999}6\\\end{array}$$

Since $6$ is less than $48$, stop the division. The reminder is $6$. The topmost line $011176$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11176$.

$$\text{Quotient: }11176$$ $$\text{Reminder: }6$$

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