Solve 3058div11

$$3058 \div 11$$

Evaluate

$$278$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3058

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)3058}\\\end{array}$$

Since 3 is less than 11, use the next digit 0 from dividend 3058 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)3058}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3058

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)3058}\\\end{array}$$

Find closest multiple of 11 to 30. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 30 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)3058}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}8\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3058

$$\begin{array}{l}\phantom{11)}02\phantom{5}\\11\overline{)3058}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}85\\\end{array}$$

Find closest multiple of 11 to 85. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 85 to get reminder 8. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}027\phantom{6}\\11\overline{)3058}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}85\\\phantom{11)}\underline{\phantom{9}77\phantom{9}}\\\phantom{11)99}8\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3058

$$\begin{array}{l}\phantom{11)}027\phantom{7}\\11\overline{)3058}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}85\\\phantom{11)}\underline{\phantom{9}77\phantom{9}}\\\phantom{11)99}88\\\end{array}$$

Find closest multiple of 11 to 88. We see that 8 \times 11 = 88 is the nearest. Now subtract 88 from 88 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{11)}0278\phantom{8}\\11\overline{)3058}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}85\\\phantom{11)}\underline{\phantom{9}77\phantom{9}}\\\phantom{11)99}88\\\phantom{11)}\underline{\phantom{99}88\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0278 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 278.

$$\text{Quotient: }278 \text{Reminder: }0$$

Factor

$$2\times 139$$