Solve 14400div64

$$14400 \div 64$$

Evaluate

$$225$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14400

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)14400}\\\end{array}$$

Since 1 is less than 64, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)14400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14400

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)14400}\\\end{array}$$

Since 14 is less than 64, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)14400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 14400

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)14400}\\\end{array}$$

Find closest multiple of 64 to 144. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 144 to get reminder 16. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}002\phantom{6}\\64\overline{)14400}\\\phantom{64)}\underline{\phantom{}128\phantom{99}}\\\phantom{64)9}16\\\end{array}$$

Use the 4^{th} digit 0 from dividend 14400

$$\begin{array}{l}\phantom{64)}002\phantom{7}\\64\overline{)14400}\\\phantom{64)}\underline{\phantom{}128\phantom{99}}\\\phantom{64)9}160\\\end{array}$$

Find closest multiple of 64 to 160. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 160 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}0022\phantom{8}\\64\overline{)14400}\\\phantom{64)}\underline{\phantom{}128\phantom{99}}\\\phantom{64)9}160\\\phantom{64)}\underline{\phantom{9}128\phantom{9}}\\\phantom{64)99}32\\\end{array}$$

Use the 5^{th} digit 0 from dividend 14400

$$\begin{array}{l}\phantom{64)}0022\phantom{9}\\64\overline{)14400}\\\phantom{64)}\underline{\phantom{}128\phantom{99}}\\\phantom{64)9}160\\\phantom{64)}\underline{\phantom{9}128\phantom{9}}\\\phantom{64)99}320\\\end{array}$$

Find closest multiple of 64 to 320. We see that 5 \times 64 = 320 is the nearest. Now subtract 320 from 320 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{64)}00225\phantom{10}\\64\overline{)14400}\\\phantom{64)}\underline{\phantom{}128\phantom{99}}\\\phantom{64)9}160\\\phantom{64)}\underline{\phantom{9}128\phantom{9}}\\\phantom{64)99}320\\\phantom{64)}\underline{\phantom{99}320\phantom{}}\\\phantom{64)99999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 00225 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 225.

$$\text{Quotient: }225 \text{Reminder: }0$$

Factor

$$3^{2}\times 5^{2}$$