Solve 1200:64

$$1200 : 64$$

Evaluate

$$\frac{75}{4}=18.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1200

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)1200}\\\end{array}$$

Since 1 is less than 64, use the next digit 2 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)1200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1200

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)1200}\\\end{array}$$

Since 12 is less than 64, use the next digit 0 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)1200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)1200}\\\end{array}$$

Find closest multiple of 64 to 120. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 120 to get reminder 56. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}001\phantom{6}\\64\overline{)1200}\\\phantom{64)}\underline{\phantom{9}64\phantom{9}}\\\phantom{64)9}56\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{64)}001\phantom{7}\\64\overline{)1200}\\\phantom{64)}\underline{\phantom{9}64\phantom{9}}\\\phantom{64)9}560\\\end{array}$$

Find closest multiple of 64 to 560. We see that 8 \times 64 = 512 is the nearest. Now subtract 512 from 560 to get reminder 48. Add 8 to quotient.

$$\begin{array}{l}\phantom{64)}0018\phantom{8}\\64\overline{)1200}\\\phantom{64)}\underline{\phantom{9}64\phantom{9}}\\\phantom{64)9}560\\\phantom{64)}\underline{\phantom{9}512\phantom{}}\\\phantom{64)99}48\\\end{array}$$

Since 48 is less than 64, stop the division. The reminder is 48. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }48$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$