Solve 20561div12

$$20561 \div 12$$

Evaluate

$$\frac{20561}{12}\approx 1713.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20561

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)20561}\\\end{array}$$

Since 2 is less than 12, use the next digit 0 from dividend 20561 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)20561}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20561

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)20561}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}8\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 20561

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\end{array}$$

Find closest multiple of 12 to 85. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 85 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}017\phantom{6}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\phantom{12)}\underline{\phantom{9}84\phantom{99}}\\\phantom{12)99}1\\\end{array}$$

Use the 4^{th} digit 6 from dividend 20561

$$\begin{array}{l}\phantom{12)}017\phantom{7}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\phantom{12)}\underline{\phantom{9}84\phantom{99}}\\\phantom{12)99}16\\\end{array}$$

Find closest multiple of 12 to 16. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 16 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}0171\phantom{8}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\phantom{12)}\underline{\phantom{9}84\phantom{99}}\\\phantom{12)99}16\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}4\\\end{array}$$

Use the 5^{th} digit 1 from dividend 20561

$$\begin{array}{l}\phantom{12)}0171\phantom{9}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\phantom{12)}\underline{\phantom{9}84\phantom{99}}\\\phantom{12)99}16\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}41\\\end{array}$$

Find closest multiple of 12 to 41. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 41 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}01713\phantom{10}\\12\overline{)20561}\\\phantom{12)}\underline{\phantom{}12\phantom{999}}\\\phantom{12)9}85\\\phantom{12)}\underline{\phantom{9}84\phantom{99}}\\\phantom{12)99}16\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}41\\\phantom{12)}\underline{\phantom{999}36\phantom{}}\\\phantom{12)9999}5\\\end{array}$$

Since 5 is less than 12, stop the division. The reminder is 5. The topmost line 01713 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1713.

$$\text{Quotient: }1713 \text{Reminder: }5$$

Factor

$$\frac{29 \cdot 709}{2 ^ {2} \cdot 3} = 1713\frac{5}{12} = 1713.4166666666667$$