Solve 5929div12

$$5929 \div 12$$

Evaluate

$$\frac{5929}{12}\approx 494.083333333$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5929

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)5929}\\\end{array}$$

Since 5 is less than 12, use the next digit 9 from dividend 5929 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)5929}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 5929

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)5929}\\\end{array}$$

Find closest multiple of 12 to 59. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)5929}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)}11\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 5929

$$\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)5929}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)}112\\\end{array}$$

Find closest multiple of 12 to 112. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 112 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}049\phantom{6}\\12\overline{)5929}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)}112\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}4\\\end{array}$$

Use the 4^{th} digit 9 from dividend 5929

$$\begin{array}{l}\phantom{12)}049\phantom{7}\\12\overline{)5929}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)}112\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}49\\\end{array}$$

Find closest multiple of 12 to 49. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 49 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0494\phantom{8}\\12\overline{)5929}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)}112\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}49\\\phantom{12)}\underline{\phantom{99}48\phantom{}}\\\phantom{12)999}1\\\end{array}$$

Since 1 is less than 12, stop the division. The reminder is 1. The topmost line 0494 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 494.

$$\text{Quotient: }494 \text{Reminder: }1$$

Factor

$$\frac{7 ^ {2} \cdot 11 ^ {2}}{2 ^ {2} \cdot 3} = 494\frac{1}{12} = 494.0833333333333$$