Solve 214div60

$$214 \div 60$$

Evaluate

$$\frac{107}{30}\approx 3.566666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 214

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)214}\\\end{array}$$

Since 2 is less than 60, use the next digit 1 from dividend 214 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)214}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 214

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)214}\\\end{array}$$

Since 21 is less than 60, use the next digit 4 from dividend 214 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)214}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 214

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)214}\\\end{array}$$

Find closest multiple of 60 to 214. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 214 to get reminder 34. Add 3 to quotient.

$$\begin{array}{l}\phantom{60)}003\phantom{6}\\60\overline{)214}\\\phantom{60)}\underline{\phantom{}180\phantom{}}\\\phantom{60)9}34\\\end{array}$$

Since 34 is less than 60, stop the division. The reminder is 34. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }34$$

Factor

$$\frac{107}{2 \cdot 3 \cdot 5} = 3\frac{17}{30} = 3.566666666666667$$