Solve 25560/20

$$\frac { 25560 } { 20 }$$

Evaluate

$$1278$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25560

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)25560}\\\end{array}$$

Since 2 is less than 20, use the next digit 5 from dividend 25560 and add 0 to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)25560}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25560

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)25560}\\\end{array}$$

Find closest multiple of 20 to 25. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 25 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}5\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 25560

$$\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\end{array}$$

Find closest multiple of 20 to 55. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 55 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{20)}012\phantom{6}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\phantom{20)}\underline{\phantom{9}40\phantom{99}}\\\phantom{20)9}15\\\end{array}$$

Use the 4^{th} digit 6 from dividend 25560

$$\begin{array}{l}\phantom{20)}012\phantom{7}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\phantom{20)}\underline{\phantom{9}40\phantom{99}}\\\phantom{20)9}156\\\end{array}$$

Find closest multiple of 20 to 156. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 156 to get reminder 16. Add 7 to quotient.

$$\begin{array}{l}\phantom{20)}0127\phantom{8}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\phantom{20)}\underline{\phantom{9}40\phantom{99}}\\\phantom{20)9}156\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}16\\\end{array}$$

Use the 5^{th} digit 0 from dividend 25560

$$\begin{array}{l}\phantom{20)}0127\phantom{9}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\phantom{20)}\underline{\phantom{9}40\phantom{99}}\\\phantom{20)9}156\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}160\\\end{array}$$

Find closest multiple of 20 to 160. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 160 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{20)}01278\phantom{10}\\20\overline{)25560}\\\phantom{20)}\underline{\phantom{}20\phantom{999}}\\\phantom{20)9}55\\\phantom{20)}\underline{\phantom{9}40\phantom{99}}\\\phantom{20)9}156\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}160\\\phantom{20)}\underline{\phantom{99}160\phantom{}}\\\phantom{20)99999}0\\\end{array}$$

Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 01278 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1278.

$$\text{Quotient: }1278 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 71$$