Solve 272/42

$$\frac { 272 } { 42 }$$

Evaluate

$$\frac{136}{21}\approx 6.476190476$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 272

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)272}\\\end{array}$$

Since 2 is less than 42, use the next digit 7 from dividend 272 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)272}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 272

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)272}\\\end{array}$$

Since 27 is less than 42, use the next digit 2 from dividend 272 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)272}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 272

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)272}\\\end{array}$$

Find closest multiple of 42 to 272. We see that 6 \times 42 = 252 is the nearest. Now subtract 252 from 272 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{42)}006\phantom{6}\\42\overline{)272}\\\phantom{42)}\underline{\phantom{}252\phantom{}}\\\phantom{42)9}20\\\end{array}$$

Since 20 is less than 42, stop the division. The reminder is 20. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }20$$

Factor

$$\frac{2 ^ {3} \cdot 17}{3 \cdot 7} = 6\frac{10}{21} = 6.476190476190476$$