Solve 3905div11=

$$3905 \div 11 =$$

Evaluate

$$355$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3905

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)3905}\\\end{array}$$

Since 3 is less than 11, use the next digit 9 from dividend 3905 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)3905}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3905

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)3905}\\\end{array}$$

Find closest multiple of 11 to 39. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 39 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)3905}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3905

$$\begin{array}{l}\phantom{11)}03\phantom{5}\\11\overline{)3905}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}60\\\end{array}$$

Find closest multiple of 11 to 60. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 60 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}035\phantom{6}\\11\overline{)3905}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}5\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3905

$$\begin{array}{l}\phantom{11)}035\phantom{7}\\11\overline{)3905}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}55\\\end{array}$$

Find closest multiple of 11 to 55. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 55 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}0355\phantom{8}\\11\overline{)3905}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}55\\\phantom{11)}\underline{\phantom{99}55\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0355 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 355.

$$\text{Quotient: }355 \text{Reminder: }0$$

Factor

$$5\times 71$$