Solve 298div64

$$298 \div 64$$

Evaluate

$$\frac{149}{32}=4.65625$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 298

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)298}\\\end{array}$$

Since 2 is less than 64, use the next digit 9 from dividend 298 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)298}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 298

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)298}\\\end{array}$$

Since 29 is less than 64, use the next digit 8 from dividend 298 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)298}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 298

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)298}\\\end{array}$$

Find closest multiple of 64 to 298. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 298 to get reminder 42. Add 4 to quotient.

$$\begin{array}{l}\phantom{64)}004\phantom{6}\\64\overline{)298}\\\phantom{64)}\underline{\phantom{}256\phantom{}}\\\phantom{64)9}42\\\end{array}$$

Since 42 is less than 64, stop the division. The reminder is 42. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }42$$

Factor

$$\frac{149}{2 ^ {5}} = 4\frac{21}{32} = 4.65625$$