Solve 3027/28

$$\frac{ 3027 }{ 28 }$$

Evaluate

$$\frac{3027}{28}\approx 108.107142857$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3027

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)3027}\\\end{array}$$

Since 3 is less than 28, use the next digit 0 from dividend 3027 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)3027}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3027

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)3027}\\\end{array}$$

Find closest multiple of 28 to 30. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 30 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)3027}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}2\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3027

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)3027}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}22\\\end{array}$$

Since 22 is less than 28, use the next digit 7 from dividend 3027 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}010\phantom{6}\\28\overline{)3027}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}22\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3027

$$\begin{array}{l}\phantom{28)}010\phantom{7}\\28\overline{)3027}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}227\\\end{array}$$

Find closest multiple of 28 to 227. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 227 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{28)}0108\phantom{8}\\28\overline{)3027}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}227\\\phantom{28)}\underline{\phantom{9}224\phantom{}}\\\phantom{28)999}3\\\end{array}$$

Since 3 is less than 28, stop the division. The reminder is 3. The topmost line 0108 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 108.

$$\text{Quotient: }108 \text{Reminder: }3$$

Factor

$$\frac{3 \cdot 1009}{2 ^ {2} \cdot 7} = 108\frac{3}{28} = 108.10714285714286$$