Solve 7326div999

$$7326 \div 999$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7326

$$\begin{array}{l}\phantom{999)}\phantom{1}\\999\overline{)7326}\\\end{array}$$

Since 7 is less than 999, use the next digit 3 from dividend 7326 and add 0 to the quotient

$$\begin{array}{l}\phantom{999)}0\phantom{2}\\999\overline{)7326}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 7326

$$\begin{array}{l}\phantom{999)}0\phantom{3}\\999\overline{)7326}\\\end{array}$$

Since 73 is less than 999, use the next digit 2 from dividend 7326 and add 0 to the quotient

$$\begin{array}{l}\phantom{999)}00\phantom{4}\\999\overline{)7326}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 7326

$$\begin{array}{l}\phantom{999)}00\phantom{5}\\999\overline{)7326}\\\end{array}$$

Since 732 is less than 999, use the next digit 6 from dividend 7326 and add 0 to the quotient

$$\begin{array}{l}\phantom{999)}000\phantom{6}\\999\overline{)7326}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7326

$$\begin{array}{l}\phantom{999)}000\phantom{7}\\999\overline{)7326}\\\end{array}$$

Find closest multiple of 999 to 7326. We see that 7 \times 999 = 6993 is the nearest. Now subtract 6993 from 7326 to get reminder 333. Add 7 to quotient.

$$\begin{array}{l}\phantom{999)}0007\phantom{8}\\999\overline{)7326}\\\phantom{999)}\underline{\phantom{}6993\phantom{}}\\\phantom{999)9}333\\\end{array}$$

Since 333 is less than 999, stop the division. The reminder is 333. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }333$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$