Solve 50000:12

$$50000 : 12$$

Evaluate

$$\frac{12500}{3}\approx 4166.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 50000

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)50000}\\\end{array}$$

Since 5 is less than 12, use the next digit 0 from dividend 50000 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)50000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 50000

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)50000}\\\end{array}$$

Find closest multiple of 12 to 50. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}2\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 50000

$$\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\end{array}$$

Find closest multiple of 12 to 20. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 20 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}041\phantom{6}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\phantom{12)}\underline{\phantom{9}12\phantom{99}}\\\phantom{12)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 50000

$$\begin{array}{l}\phantom{12)}041\phantom{7}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\phantom{12)}\underline{\phantom{9}12\phantom{99}}\\\phantom{12)99}80\\\end{array}$$

Find closest multiple of 12 to 80. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}0416\phantom{8}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\phantom{12)}\underline{\phantom{9}12\phantom{99}}\\\phantom{12)99}80\\\phantom{12)}\underline{\phantom{99}72\phantom{9}}\\\phantom{12)999}8\\\end{array}$$

Use the 5^{th} digit 0 from dividend 50000

$$\begin{array}{l}\phantom{12)}0416\phantom{9}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\phantom{12)}\underline{\phantom{9}12\phantom{99}}\\\phantom{12)99}80\\\phantom{12)}\underline{\phantom{99}72\phantom{9}}\\\phantom{12)999}80\\\end{array}$$

Find closest multiple of 12 to 80. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}04166\phantom{10}\\12\overline{)50000}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}20\\\phantom{12)}\underline{\phantom{9}12\phantom{99}}\\\phantom{12)99}80\\\phantom{12)}\underline{\phantom{99}72\phantom{9}}\\\phantom{12)999}80\\\phantom{12)}\underline{\phantom{999}72\phantom{}}\\\phantom{12)9999}8\\\end{array}$$

Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 04166 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4166.

$$\text{Quotient: }4166 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {5}}{3} = 4166\frac{2}{3} \approx 4166.666666667$$