Solve 363div64

$$363 \div 64$$

Evaluate

$$\frac{363}{64}=5.671875$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 363

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)363}\\\end{array}$$

Since 3 is less than 64, use the next digit 6 from dividend 363 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)363}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 363

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)363}\\\end{array}$$

Since 36 is less than 64, use the next digit 3 from dividend 363 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)363}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 363

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)363}\\\end{array}$$

Find closest multiple of 64 to 363. We see that 5 \times 64 = 320 is the nearest. Now subtract 320 from 363 to get reminder 43. Add 5 to quotient.

$$\begin{array}{l}\phantom{64)}005\phantom{6}\\64\overline{)363}\\\phantom{64)}\underline{\phantom{}320\phantom{}}\\\phantom{64)9}43\\\end{array}$$

Since 43 is less than 64, stop the division. The reminder is 43. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }43$$

Factor

$$\frac{3 \cdot 11 ^ {2}}{2 ^ {6}} = 5\frac{43}{64} = 5.671875$$