Solve 58038:12=

$$58038 : 12 =$$

Evaluate

$$\frac{9673}{2}=4836.5$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 58038

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)58038}\\\end{array}$$

Since 5 is less than 12, use the next digit 8 from dividend 58038 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)58038}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 58038

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)58038}\\\end{array}$$

Find closest multiple of 12 to 58. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 58 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 58038

$$\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}048\phantom{6}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}4\\\end{array}$$

Use the 4^{th} digit 3 from dividend 58038

$$\begin{array}{l}\phantom{12)}048\phantom{7}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\end{array}$$

Find closest multiple of 12 to 43. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 43 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}0483\phantom{8}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}7\\\end{array}$$

Use the 5^{th} digit 8 from dividend 58038

$$\begin{array}{l}\phantom{12)}0483\phantom{9}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}78\\\end{array}$$

Find closest multiple of 12 to 78. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 78 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}04836\phantom{10}\\12\overline{)58038}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}78\\\phantom{12)}\underline{\phantom{999}72\phantom{}}\\\phantom{12)9999}6\\\end{array}$$

Since 6 is less than 12, stop the division. The reminder is 6. The topmost line 04836 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4836.

$$\text{Quotient: }4836 \text{Reminder: }6$$

Factor

$$\frac{17 \cdot 569}{2} = 4836\frac{1}{2} = 4836.5$$