Solve 1667div60

$$1667 \div 60$$

Evaluate

$$\frac{1667}{60}\approx 27.783333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1667

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1667}\\\end{array}$$

Since 1 is less than 60, use the next digit 6 from dividend 1667 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1667}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1667

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1667}\\\end{array}$$

Since 16 is less than 60, use the next digit 6 from dividend 1667 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1667}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1667

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1667}\\\end{array}$$

Find closest multiple of 60 to 166. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 166 to get reminder 46. Add 2 to quotient.

$$\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1667}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}46\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1667

$$\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1667}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}467\\\end{array}$$

Find closest multiple of 60 to 467. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 467 to get reminder 47. Add 7 to quotient.

$$\begin{array}{l}\phantom{60)}0027\phantom{8}\\60\overline{)1667}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}467\\\phantom{60)}\underline{\phantom{9}420\phantom{}}\\\phantom{60)99}47\\\end{array}$$

Since 47 is less than 60, stop the division. The reminder is 47. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }47$$

Factor

$$\frac{1667}{2 ^ {2} \cdot 3 \cdot 5} = 27\frac{47}{60} = 27.783333333333335$$