Solve 62579div11

$$62579 \div 11$$

Evaluate

$$5689$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 62579

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)62579}\\\end{array}$$

Since 6 is less than 11, use the next digit 2 from dividend 62579 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)62579}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 62579

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)62579}\\\end{array}$$

Find closest multiple of 11 to 62. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 62 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}05\phantom{4}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 62579

$$\begin{array}{l}\phantom{11)}05\phantom{5}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\end{array}$$

Find closest multiple of 11 to 75. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 75 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}056\phantom{6}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\phantom{11)}\underline{\phantom{9}66\phantom{99}}\\\phantom{11)99}9\\\end{array}$$

Use the 4^{th} digit 7 from dividend 62579

$$\begin{array}{l}\phantom{11)}056\phantom{7}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\phantom{11)}\underline{\phantom{9}66\phantom{99}}\\\phantom{11)99}97\\\end{array}$$

Find closest multiple of 11 to 97. We see that 8 \times 11 = 88 is the nearest. Now subtract 88 from 97 to get reminder 9. Add 8 to quotient.

$$\begin{array}{l}\phantom{11)}0568\phantom{8}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\phantom{11)}\underline{\phantom{9}66\phantom{99}}\\\phantom{11)99}97\\\phantom{11)}\underline{\phantom{99}88\phantom{9}}\\\phantom{11)999}9\\\end{array}$$

Use the 5^{th} digit 9 from dividend 62579

$$\begin{array}{l}\phantom{11)}0568\phantom{9}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\phantom{11)}\underline{\phantom{9}66\phantom{99}}\\\phantom{11)99}97\\\phantom{11)}\underline{\phantom{99}88\phantom{9}}\\\phantom{11)999}99\\\end{array}$$

Find closest multiple of 11 to 99. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 99 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}05689\phantom{10}\\11\overline{)62579}\\\phantom{11)}\underline{\phantom{}55\phantom{999}}\\\phantom{11)9}75\\\phantom{11)}\underline{\phantom{9}66\phantom{99}}\\\phantom{11)99}97\\\phantom{11)}\underline{\phantom{99}88\phantom{9}}\\\phantom{11)999}99\\\phantom{11)}\underline{\phantom{999}99\phantom{}}\\\phantom{11)99999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 05689 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5689.

$$\text{Quotient: }5689 \text{Reminder: }0$$

Factor

$$5689$$