Solve 1609div60

$$1609 \div 60$$

Evaluate

$$\frac{1609}{60}\approx 26.816666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1609

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1609}\\\end{array}$$

Since 1 is less than 60, use the next digit 6 from dividend 1609 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1609}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1609

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1609}\\\end{array}$$

Since 16 is less than 60, use the next digit 0 from dividend 1609 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1609}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1609

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1609}\\\end{array}$$

Find closest multiple of 60 to 160. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 160 to get reminder 40. Add 2 to quotient.

$$\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1609}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}40\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1609

$$\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1609}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}409\\\end{array}$$

Find closest multiple of 60 to 409. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 409 to get reminder 49. Add 6 to quotient.

$$\begin{array}{l}\phantom{60)}0026\phantom{8}\\60\overline{)1609}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}409\\\phantom{60)}\underline{\phantom{9}360\phantom{}}\\\phantom{60)99}49\\\end{array}$$

Since 49 is less than 60, stop the division. The reminder is 49. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }49$$

Factor

$$\frac{1609}{2 ^ {2} \cdot 3 \cdot 5} = 26\frac{49}{60} = 26.816666666666666$$