Solve 6536/900

$$\frac { 6536 } { 900 }$$

Evaluate

$$\frac{1634}{225}\approx 7.262222222$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6536

$$\begin{array}{l}\phantom{900)}\phantom{1}\\900\overline{)6536}\\\end{array}$$

Since 6 is less than 900, use the next digit 5 from dividend 6536 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}0\phantom{2}\\900\overline{)6536}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6536

$$\begin{array}{l}\phantom{900)}0\phantom{3}\\900\overline{)6536}\\\end{array}$$

Since 65 is less than 900, use the next digit 3 from dividend 6536 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}00\phantom{4}\\900\overline{)6536}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 6536

$$\begin{array}{l}\phantom{900)}00\phantom{5}\\900\overline{)6536}\\\end{array}$$

Since 653 is less than 900, use the next digit 6 from dividend 6536 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}000\phantom{6}\\900\overline{)6536}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6536

$$\begin{array}{l}\phantom{900)}000\phantom{7}\\900\overline{)6536}\\\end{array}$$

Find closest multiple of 900 to 6536. We see that 7 \times 900 = 6300 is the nearest. Now subtract 6300 from 6536 to get reminder 236. Add 7 to quotient.

$$\begin{array}{l}\phantom{900)}0007\phantom{8}\\900\overline{)6536}\\\phantom{900)}\underline{\phantom{}6300\phantom{}}\\\phantom{900)9}236\\\end{array}$$

Since 236 is less than 900, stop the division. The reminder is 236. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }236$$

Factor

$$\frac{2 \cdot 19 \cdot 43}{3 ^ {2} \cdot 5 ^ {2}} = 7\frac{59}{225} = 7.262222222222222$$