Solve 154div64

$$154 \div 64$$

Evaluate

$$\frac{77}{32}=2.40625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 154

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)154}\\\end{array}$$

Since 1 is less than 64, use the next digit 5 from dividend 154 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)154}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 154

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)154}\\\end{array}$$

Since 15 is less than 64, use the next digit 4 from dividend 154 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)154}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 154

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)154}\\\end{array}$$

Find closest multiple of 64 to 154. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 154 to get reminder 26. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}002\phantom{6}\\64\overline{)154}\\\phantom{64)}\underline{\phantom{}128\phantom{}}\\\phantom{64)9}26\\\end{array}$$

Since 26 is less than 64, stop the division. The reminder is 26. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }26$$

Factor

$$\frac{7 \cdot 11}{2 ^ {5}} = 2\frac{13}{32} = 2.40625$$