Solve 315div28

$$315 \div 28$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 315

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)315}\\\end{array}$$

Since 3 is less than 28, use the next digit 1 from dividend 315 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)315}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 315

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)315}\\\end{array}$$

Find closest multiple of 28 to 31. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 31 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)315}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}3\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 315

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)315}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}35\\\end{array}$$

Find closest multiple of 28 to 35. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 35 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}011\phantom{6}\\28\overline{)315}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)9}35\\\phantom{28)}\underline{\phantom{9}28\phantom{}}\\\phantom{28)99}7\\\end{array}$$

Since 7 is less than 28, stop the division. The reminder is 7. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }7$$

Factor

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