Solve 2304/576

$$\frac { 2304 } { 576 }$$

Evaluate

$$4$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2304

$$\begin{array}{l}\phantom{576)}\phantom{1}\\576\overline{)2304}\\\end{array}$$

Since 2 is less than 576, use the next digit 3 from dividend 2304 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}0\phantom{2}\\576\overline{)2304}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2304

$$\begin{array}{l}\phantom{576)}0\phantom{3}\\576\overline{)2304}\\\end{array}$$

Since 23 is less than 576, use the next digit 0 from dividend 2304 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}00\phantom{4}\\576\overline{)2304}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2304

$$\begin{array}{l}\phantom{576)}00\phantom{5}\\576\overline{)2304}\\\end{array}$$

Since 230 is less than 576, use the next digit 4 from dividend 2304 and add 0 to the quotient

$$\begin{array}{l}\phantom{576)}000\phantom{6}\\576\overline{)2304}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2304

$$\begin{array}{l}\phantom{576)}000\phantom{7}\\576\overline{)2304}\\\end{array}$$

Find closest multiple of 576 to 2304. We see that 4 \times 576 = 2304 is the nearest. Now subtract 2304 from 2304 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{576)}0004\phantom{8}\\576\overline{)2304}\\\phantom{576)}\underline{\phantom{}2304\phantom{}}\\\phantom{576)9999}0\\\end{array}$$

Since 0 is less than 576, stop the division. The reminder is 0. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }0$$

Factor

$$2^{2}$$