Solve 155/21

$$\frac{ 155 }{ 21 }$$

Evaluate

$$\frac{155}{21}\approx 7.380952381$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 155

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)155}\\\end{array}$$

Since 1 is less than 21, use the next digit 5 from dividend 155 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)155}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 155

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)155}\\\end{array}$$

Since 15 is less than 21, use the next digit 5 from dividend 155 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)155}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 155

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)155}\\\end{array}$$

Find closest multiple of 21 to 155. We see that 7 \times 21 = 147 is the nearest. Now subtract 147 from 155 to get reminder 8. Add 7 to quotient.

$$\begin{array}{l}\phantom{21)}007\phantom{6}\\21\overline{)155}\\\phantom{21)}\underline{\phantom{}147\phantom{}}\\\phantom{21)99}8\\\end{array}$$

Since 8 is less than 21, stop the division. The reminder is 8. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }8$$

Factor

$$\frac{5 \cdot 31}{3 \cdot 7} = 7\frac{8}{21} = 7.380952380952381$$