Solve 4600div1440

$$4600 \div 1440$$

Evaluate

$$\frac{115}{36}\approx 3.194444444$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4600

$$\begin{array}{l}\phantom{1440)}\phantom{1}\\1440\overline{)4600}\\\end{array}$$

Since 4 is less than 1440, use the next digit 6 from dividend 4600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}0\phantom{2}\\1440\overline{)4600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 4600

$$\begin{array}{l}\phantom{1440)}0\phantom{3}\\1440\overline{)4600}\\\end{array}$$

Since 46 is less than 1440, use the next digit 0 from dividend 4600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}00\phantom{4}\\1440\overline{)4600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4600

$$\begin{array}{l}\phantom{1440)}00\phantom{5}\\1440\overline{)4600}\\\end{array}$$

Since 460 is less than 1440, use the next digit 0 from dividend 4600 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}000\phantom{6}\\1440\overline{)4600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4600

$$\begin{array}{l}\phantom{1440)}000\phantom{7}\\1440\overline{)4600}\\\end{array}$$

Find closest multiple of 1440 to 4600. We see that 3 \times 1440 = 4320 is the nearest. Now subtract 4320 from 4600 to get reminder 280. Add 3 to quotient.

$$\begin{array}{l}\phantom{1440)}0003\phantom{8}\\1440\overline{)4600}\\\phantom{1440)}\underline{\phantom{}4320\phantom{}}\\\phantom{1440)9}280\\\end{array}$$

Since 280 is less than 1440, stop the division. The reminder is 280. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }280$$

Factor

$$\frac{5 \cdot 23}{2 ^ {2} \cdot 3 ^ {2}} = 3\frac{7}{36} = 3.1944444444444446$$