Solve 10000/224

$$\frac { 10000 } { 224 }$$

Evaluate

$$\frac{625}{14}\approx 44.642857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{224)}\phantom{1}\\224\overline{)10000}\\\end{array}$$

Since 1 is less than 224, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}0\phantom{2}\\224\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{224)}0\phantom{3}\\224\overline{)10000}\\\end{array}$$

Since 10 is less than 224, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}00\phantom{4}\\224\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{224)}00\phantom{5}\\224\overline{)10000}\\\end{array}$$

Since 100 is less than 224, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}000\phantom{6}\\224\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{224)}000\phantom{7}\\224\overline{)10000}\\\end{array}$$

Find closest multiple of 224 to 1000. We see that 4 \times 224 = 896 is the nearest. Now subtract 896 from 1000 to get reminder 104. Add 4 to quotient.

$$\begin{array}{l}\phantom{224)}0004\phantom{8}\\224\overline{)10000}\\\phantom{224)}\underline{\phantom{9}896\phantom{9}}\\\phantom{224)9}104\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{224)}0004\phantom{9}\\224\overline{)10000}\\\phantom{224)}\underline{\phantom{9}896\phantom{9}}\\\phantom{224)9}1040\\\end{array}$$

Find closest multiple of 224 to 1040. We see that 4 \times 224 = 896 is the nearest. Now subtract 896 from 1040 to get reminder 144. Add 4 to quotient.

$$\begin{array}{l}\phantom{224)}00044\phantom{10}\\224\overline{)10000}\\\phantom{224)}\underline{\phantom{9}896\phantom{9}}\\\phantom{224)9}1040\\\phantom{224)}\underline{\phantom{99}896\phantom{}}\\\phantom{224)99}144\\\end{array}$$

Since 144 is less than 224, stop the division. The reminder is 144. The topmost line 00044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }144$$

Factor

$$\frac{5 ^ {4}}{2 \cdot 7} = 44\frac{9}{14} = 44.642857142857146$$