Solve 450div64

$$450 \div 64$$

Evaluate

$$\frac{225}{32}=7.03125$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 450

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)450}\\\end{array}$$

Since 4 is less than 64, use the next digit 5 from dividend 450 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)450}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 450

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)450}\\\end{array}$$

Since 45 is less than 64, use the next digit 0 from dividend 450 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)450}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 450

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)450}\\\end{array}$$

Find closest multiple of 64 to 450. We see that 7 \times 64 = 448 is the nearest. Now subtract 448 from 450 to get reminder 2. Add 7 to quotient.

$$\begin{array}{l}\phantom{64)}007\phantom{6}\\64\overline{)450}\\\phantom{64)}\underline{\phantom{}448\phantom{}}\\\phantom{64)99}2\\\end{array}$$

Since 2 is less than 64, stop the division. The reminder is 2. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }2$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {5}} = 7\frac{1}{32} = 7.03125$$