Solve 3773div11

$$3773 \div 11$$

Evaluate

$$343$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3773

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)3773}\\\end{array}$$

Since 3 is less than 11, use the next digit 7 from dividend 3773 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)3773}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 3773

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)3773}\\\end{array}$$

Find closest multiple of 11 to 37. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 37 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)3773}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}4\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3773

$$\begin{array}{l}\phantom{11)}03\phantom{5}\\11\overline{)3773}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}47\\\end{array}$$

Find closest multiple of 11 to 47. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 47 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{11)}034\phantom{6}\\11\overline{)3773}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}47\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}3\\\end{array}$$

Use the 4^{th} digit 3 from dividend 3773

$$\begin{array}{l}\phantom{11)}034\phantom{7}\\11\overline{)3773}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}47\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}33\\\end{array}$$

Find closest multiple of 11 to 33. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 33 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}0343\phantom{8}\\11\overline{)3773}\\\phantom{11)}\underline{\phantom{}33\phantom{99}}\\\phantom{11)9}47\\\phantom{11)}\underline{\phantom{9}44\phantom{9}}\\\phantom{11)99}33\\\phantom{11)}\underline{\phantom{99}33\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0343 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 343.

$$\text{Quotient: }343 \text{Reminder: }0$$

Factor

$$7^{3}$$