Solve 1104/360

$$\frac { 1104 } { 360 }$$

Evaluate

$$\frac{46}{15}\approx 3.066666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1104

$$\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)1104}\\\end{array}$$

Since 1 is less than 360, use the next digit 1 from dividend 1104 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)1104}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1104

$$\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)1104}\\\end{array}$$

Since 11 is less than 360, use the next digit 0 from dividend 1104 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)1104}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1104

$$\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)1104}\\\end{array}$$

Since 110 is less than 360, use the next digit 4 from dividend 1104 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)1104}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1104

$$\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)1104}\\\end{array}$$

Find closest multiple of 360 to 1104. We see that 3 \times 360 = 1080 is the nearest. Now subtract 1080 from 1104 to get reminder 24. Add 3 to quotient.

$$\begin{array}{l}\phantom{360)}0003\phantom{8}\\360\overline{)1104}\\\phantom{360)}\underline{\phantom{}1080\phantom{}}\\\phantom{360)99}24\\\end{array}$$

Since 24 is less than 360, stop the division. The reminder is 24. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }24$$

Factor

$$\frac{2 \cdot 23}{3 \cdot 5} = 3\frac{1}{15} = 3.066666666666667$$