Solve 360div32

$$360 \div 32$$

Evaluate

$$\frac{45}{4}=11.25$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 360

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)360}\\\end{array}$$

Since 3 is less than 32, use the next digit 6 from dividend 360 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)360}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 360

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)360}\\\end{array}$$

Find closest multiple of 32 to 36. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 36 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)360}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)9}4\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 360

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)360}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)9}40\\\end{array}$$

Find closest multiple of 32 to 40. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 40 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}011\phantom{6}\\32\overline{)360}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)9}40\\\phantom{32)}\underline{\phantom{9}32\phantom{}}\\\phantom{32)99}8\\\end{array}$$

Since 8 is less than 32, stop the division. The reminder is 8. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }8$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$