Solve 74568\div28 | Equatix

Question

$$74568 \div 28$$

Evaluate

$\frac{18642}{7}\approx 2663.142857143$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $74568$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)74568}\\\end{array}$$

Since $7$ is less than $28$, use the next digit $4$ from dividend $74568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)74568}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $74568$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)74568}\\\end{array}$$

Find closest multiple of $28$ to $74$. We see that $2 \times 28 = 56$ is the nearest. Now subtract $56$ from $74$ to get reminder $18$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}18\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $74568$

$$\begin{array}{l}\phantom{28)}02\phantom{5}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\end{array}$$

Find closest multiple of $28$ to $185$. We see that $6 \times 28 = 168$ is the nearest. Now subtract $168$ from $185$ to get reminder $17$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{28)}026\phantom{6}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}17\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $74568$

$$\begin{array}{l}\phantom{28)}026\phantom{7}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\end{array}$$

Find closest multiple of $28$ to $176$. We see that $6 \times 28 = 168$ is the nearest. Now subtract $168$ from $176$ to get reminder $8$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{28)}0266\phantom{8}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}8\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $74568$

$$\begin{array}{l}\phantom{28)}0266\phantom{9}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}88\\\end{array}$$

Find closest multiple of $28$ to $88$. We see that $3 \times 28 = 84$ is the nearest. Now subtract $84$ from $88$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{28)}02663\phantom{10}\\28\overline{)74568}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}88\\\phantom{28)}\underline{\phantom{999}84\phantom{}}\\\phantom{28)9999}4\\\end{array}$$

Since $4$ is less than $28$, stop the division. The reminder is $4$. The topmost line $02663$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2663$.

$$\text{Quotient: }2663$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 13 \cdot 239}{7} = 2663\frac{1}{7} = 2663.1428571428573$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor