Solve 8924/63

$$\frac { 8924 } { 63 }$$

Evaluate

$$\frac{8924}{63}\approx 141.650793651$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8924

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)8924}\\\end{array}$$

Since 8 is less than 63, use the next digit 9 from dividend 8924 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)8924}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8924

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)8924}\\\end{array}$$

Find closest multiple of 63 to 89. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 89 to get reminder 26. Add 1 to quotient.

$$\begin{array}{l}\phantom{63)}01\phantom{4}\\63\overline{)8924}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}26\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8924

$$\begin{array}{l}\phantom{63)}01\phantom{5}\\63\overline{)8924}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}262\\\end{array}$$

Find closest multiple of 63 to 262. We see that 4 \times 63 = 252 is the nearest. Now subtract 252 from 262 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{63)}014\phantom{6}\\63\overline{)8924}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}262\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}10\\\end{array}$$

Use the 4^{th} digit 4 from dividend 8924

$$\begin{array}{l}\phantom{63)}014\phantom{7}\\63\overline{)8924}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}262\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}104\\\end{array}$$

Find closest multiple of 63 to 104. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 104 to get reminder 41. Add 1 to quotient.

$$\begin{array}{l}\phantom{63)}0141\phantom{8}\\63\overline{)8924}\\\phantom{63)}\underline{\phantom{}63\phantom{99}}\\\phantom{63)}262\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)9}104\\\phantom{63)}\underline{\phantom{99}63\phantom{}}\\\phantom{63)99}41\\\end{array}$$

Since 41 is less than 63, stop the division. The reminder is 41. The topmost line 0141 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 141.

$$\text{Quotient: }141 \text{Reminder: }41$$

Factor

$$\frac{2 ^ {2} \cdot 23 \cdot 97}{3 ^ {2} \cdot 7} = 141\frac{41}{63} = 141.65079365079364$$