How to solve 2472348/98

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 2472348/98 | Equatix

Use the $1^{st}$ digit $2$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)2472348}\\\end{array}$$

Since $2$ is less than $98$, use the next digit $4$ from dividend $2472348$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)2472348}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)2472348}\\\end{array}$$

Since $24$ is less than $98$, use the next digit $7$ from dividend $2472348$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)2472348}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)2472348}\\\end{array}$$

Find closest multiple of $98$ to $247$. We see that $2 \times 98 = 196$ is the nearest. Now subtract $196$ from $247$ to get reminder $51$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{98)}002\phantom{6}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}51\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}002\phantom{7}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\end{array}$$

Find closest multiple of $98$ to $512$. We see that $5 \times 98 = 490$ is the nearest. Now subtract $490$ from $512$ to get reminder $22$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{98)}0025\phantom{8}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}22\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}0025\phantom{9}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\end{array}$$

Find closest multiple of $98$ to $223$. We see that $2 \times 98 = 196$ is the nearest. Now subtract $196$ from $223$ to get reminder $27$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{98)}00252\phantom{10}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\phantom{98)}\underline{\phantom{99}196\phantom{99}}\\\phantom{98)999}27\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}00252\phantom{11}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\phantom{98)}\underline{\phantom{99}196\phantom{99}}\\\phantom{98)999}274\\\end{array}$$

Find closest multiple of $98$ to $274$. We see that $2 \times 98 = 196$ is the nearest. Now subtract $196$ from $274$ to get reminder $78$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{98)}002522\phantom{12}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\phantom{98)}\underline{\phantom{99}196\phantom{99}}\\\phantom{98)999}274\\\phantom{98)}\underline{\phantom{999}196\phantom{9}}\\\phantom{98)9999}78\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $2472348$

$$\begin{array}{l}\phantom{98)}002522\phantom{13}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\phantom{98)}\underline{\phantom{99}196\phantom{99}}\\\phantom{98)999}274\\\phantom{98)}\underline{\phantom{999}196\phantom{9}}\\\phantom{98)9999}788\\\end{array}$$

Find closest multiple of $98$ to $788$. We see that $8 \times 98 = 784$ is the nearest. Now subtract $784$ from $788$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{98)}0025228\phantom{14}\\98\overline{)2472348}\\\phantom{98)}\underline{\phantom{}196\phantom{9999}}\\\phantom{98)9}512\\\phantom{98)}\underline{\phantom{9}490\phantom{999}}\\\phantom{98)99}223\\\phantom{98)}\underline{\phantom{99}196\phantom{99}}\\\phantom{98)999}274\\\phantom{98)}\underline{\phantom{999}196\phantom{9}}\\\phantom{98)9999}788\\\phantom{98)}\underline{\phantom{9999}784\phantom{}}\\\phantom{98)999999}4\\\end{array}$$

Since $4$ is less than $98$, stop the division. The reminder is $4$. The topmost line $0025228$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $25228$.

$$\text{Quotient: }25228$$ $$\text{Reminder: }4$$

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