Solve 13000/12

$$\frac{ 13000 }{ 12 }$$

Evaluate

$$\frac{3250}{3}\approx 1083.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13000

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)13000}\\\end{array}$$

Since 1 is less than 12, use the next digit 3 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)13000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13000

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)13000}\\\end{array}$$

Find closest multiple of 12 to 13. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 13 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}1\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}10\\\end{array}$$

Since 10 is less than 12, use the next digit 0 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}100\\\end{array}$$

Find closest multiple of 12 to 100. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}0108\phantom{8}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}100\\\phantom{12)}\underline{\phantom{99}96\phantom{9}}\\\phantom{12)999}4\\\end{array}$$

Use the 5^{th} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{12)}0108\phantom{9}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}100\\\phantom{12)}\underline{\phantom{99}96\phantom{9}}\\\phantom{12)999}40\\\end{array}$$

Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}01083\phantom{10}\\12\overline{)13000}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}100\\\phantom{12)}\underline{\phantom{99}96\phantom{9}}\\\phantom{12)999}40\\\phantom{12)}\underline{\phantom{999}36\phantom{}}\\\phantom{12)9999}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 01083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1083.

$$\text{Quotient: }1083 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 5 ^ {3} \cdot 13}{3} = 1083\frac{1}{3} \approx 1083.333333333$$