Solve 100/28

$$\frac { 100 } { 28 }$$

Evaluate

$$\frac{25}{7}\approx 3.571428571$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)100}\\\end{array}$$

Since 1 is less than 28, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)100}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)100}\\\end{array}$$

Since 10 is less than 28, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)100}\\\end{array}$$

Find closest multiple of 28 to 100. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 100 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}003\phantom{6}\\28\overline{)100}\\\phantom{28)}\underline{\phantom{9}84\phantom{}}\\\phantom{28)9}16\\\end{array}$$

Since 16 is less than 28, stop the division. The reminder is 16. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }16$$

Factor

$$\frac{5 ^ {2}}{7} = 3\frac{4}{7} = 3.5714285714285716$$