Solve 2304div64

$$2304 \div 64$$

Evaluate

$$36$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)2304}\\\end{array}$$

Since 2 is less than 64, use the next digit 3 from dividend 2304 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)2304}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)2304}\\\end{array}$$

Since 23 is less than 64, use the next digit 0 from dividend 2304 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)2304}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)2304}\\\end{array}$$

Find closest multiple of 64 to 230. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 230 to get reminder 38. Add 3 to quotient.

$$\begin{array}{l}\phantom{64)}003\phantom{6}\\64\overline{)2304}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}38\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}003\phantom{7}\\64\overline{)2304}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}384\\\end{array}$$

Find closest multiple of 64 to 384. We see that 6 \times 64 = 384 is the nearest. Now subtract 384 from 384 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{64)}0036\phantom{8}\\64\overline{)2304}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}384\\\phantom{64)}\underline{\phantom{9}384\phantom{}}\\\phantom{64)9999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 0036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }0$$

Factor

$$2^{2}\times 3^{2}$$