Solve 7328/3600

$$7328 / 3600$$

Evaluate

$$\frac{458}{225}\approx 2.035555556$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7328

$$\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)7328}\\\end{array}$$

Since 7 is less than 3600, use the next digit 3 from dividend 7328 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)7328}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 7328

$$\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)7328}\\\end{array}$$

Since 73 is less than 3600, use the next digit 2 from dividend 7328 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)7328}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 7328

$$\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)7328}\\\end{array}$$

Since 732 is less than 3600, use the next digit 8 from dividend 7328 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)7328}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 7328

$$\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)7328}\\\end{array}$$

Find closest multiple of 3600 to 7328. We see that 2 \times 3600 = 7200 is the nearest. Now subtract 7200 from 7328 to get reminder 128. Add 2 to quotient.

$$\begin{array}{l}\phantom{3600)}0002\phantom{8}\\3600\overline{)7328}\\\phantom{3600)}\underline{\phantom{}7200\phantom{}}\\\phantom{3600)9}128\\\end{array}$$

Since 128 is less than 3600, stop the division. The reminder is 128. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }128$$

Factor

$$\frac{2 \cdot 229}{3 ^ {2} \cdot 5 ^ {2}} = 2\frac{8}{225} = 2.0355555555555553$$