Solve 9000/63

$$\frac{ 9000 }{ 63 }$$

Evaluate

$$\frac{1000}{7}\approx 142.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9000

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)9000}\\\end{array}$$

Since 9 is less than 63, use the next digit 0 from dividend 9000 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)9000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)9000}\\\end{array}$$

Find closest multiple of 63 to 90. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 90 to get reminder 27. Add 1 to quotient.

$$\begin{array}{l}\phantom{63)}01\phantom{4}\\63\overline{)9000}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}27\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{63)}01\phantom{5}\\63\overline{)9000}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}270\\\end{array}$$

Find closest multiple of 63 to 270. We see that 4 \times 63 = 252 is the nearest. Now subtract 252 from 270 to get reminder 18. Add 4 to quotient.

$$\begin{array}{l}\phantom{63)}014\phantom{6}\\63\overline{)9000}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}270\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9000

$$\begin{array}{l}\phantom{63)}014\phantom{7}\\63\overline{)9000}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}270\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}180\\\end{array}$$

Find closest multiple of 63 to 180. We see that 2 \times 63 = 126 is the nearest. Now subtract 126 from 180 to get reminder 54. Add 2 to quotient.

$$\begin{array}{l}\phantom{63)}0142\phantom{8}\\63\overline{)9000}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}270\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}180\\\phantom{63)}\underline{\phantom{9}126\phantom{}}\\\phantom{63)99}54\\\end{array}$$

Since 54 is less than 63, stop the division. The reminder is 54. The topmost line 0142 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 142.

$$\text{Quotient: }142 \text{Reminder: }54$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{7} = 142\frac{6}{7} = 142.85714285714286$$