Solve 11102div26

$$11102 \div 26$$

Evaluate

$$427$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11102

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)11102}\\\end{array}$$

Since 1 is less than 26, use the next digit 1 from dividend 11102 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)11102}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11102

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)11102}\\\end{array}$$

Since 11 is less than 26, use the next digit 1 from dividend 11102 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)11102}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 11102

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)11102}\\\end{array}$$

Find closest multiple of 26 to 111. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 111 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}004\phantom{6}\\26\overline{)11102}\\\phantom{26)}\underline{\phantom{}104\phantom{99}}\\\phantom{26)99}7\\\end{array}$$

Use the 4^{th} digit 0 from dividend 11102

$$\begin{array}{l}\phantom{26)}004\phantom{7}\\26\overline{)11102}\\\phantom{26)}\underline{\phantom{}104\phantom{99}}\\\phantom{26)99}70\\\end{array}$$

Find closest multiple of 26 to 70. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 70 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}0042\phantom{8}\\26\overline{)11102}\\\phantom{26)}\underline{\phantom{}104\phantom{99}}\\\phantom{26)99}70\\\phantom{26)}\underline{\phantom{99}52\phantom{9}}\\\phantom{26)99}18\\\end{array}$$

Use the 5^{th} digit 2 from dividend 11102

$$\begin{array}{l}\phantom{26)}0042\phantom{9}\\26\overline{)11102}\\\phantom{26)}\underline{\phantom{}104\phantom{99}}\\\phantom{26)99}70\\\phantom{26)}\underline{\phantom{99}52\phantom{9}}\\\phantom{26)99}182\\\end{array}$$

Find closest multiple of 26 to 182. We see that 7 \times 26 = 182 is the nearest. Now subtract 182 from 182 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{26)}00427\phantom{10}\\26\overline{)11102}\\\phantom{26)}\underline{\phantom{}104\phantom{99}}\\\phantom{26)99}70\\\phantom{26)}\underline{\phantom{99}52\phantom{9}}\\\phantom{26)99}182\\\phantom{26)}\underline{\phantom{99}182\phantom{}}\\\phantom{26)99999}0\\\end{array}$$

Since 0 is less than 26, stop the division. The reminder is 0. The topmost line 00427 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 427.

$$\text{Quotient: }427 \text{Reminder: }0$$

Factor

$$7\times 61$$