Solve 2670:1440

$$2670 : 1440$$

Evaluate

$$\frac{89}{48}\approx 1.854166667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2670

$$\begin{array}{l}\phantom{1440)}\phantom{1}\\1440\overline{)2670}\\\end{array}$$

Since 2 is less than 1440, use the next digit 6 from dividend 2670 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}0\phantom{2}\\1440\overline{)2670}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 2670

$$\begin{array}{l}\phantom{1440)}0\phantom{3}\\1440\overline{)2670}\\\end{array}$$

Since 26 is less than 1440, use the next digit 7 from dividend 2670 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}00\phantom{4}\\1440\overline{)2670}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2670

$$\begin{array}{l}\phantom{1440)}00\phantom{5}\\1440\overline{)2670}\\\end{array}$$

Since 267 is less than 1440, use the next digit 0 from dividend 2670 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}000\phantom{6}\\1440\overline{)2670}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2670

$$\begin{array}{l}\phantom{1440)}000\phantom{7}\\1440\overline{)2670}\\\end{array}$$

Find closest multiple of 1440 to 2670. We see that 1 \times 1440 = 1440 is the nearest. Now subtract 1440 from 2670 to get reminder 1230. Add 1 to quotient.

$$\begin{array}{l}\phantom{1440)}0001\phantom{8}\\1440\overline{)2670}\\\phantom{1440)}\underline{\phantom{}1440\phantom{}}\\\phantom{1440)}1230\\\end{array}$$

Since 1230 is less than 1440, stop the division. The reminder is 1230. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1230$$

Factor

$$\frac{89}{2 ^ {4} \cdot 3} = 1\frac{41}{48} = 1.8541666666666667$$