Solve 2521/11

$$2521 / 11$$

Evaluate

$$\frac{2521}{11}\approx 229.181818182$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2521

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)2521}\\\end{array}$$

Since 2 is less than 11, use the next digit 5 from dividend 2521 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)2521}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2521

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)2521}\\\end{array}$$

Find closest multiple of 11 to 25. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 25 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)2521}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}3\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2521

$$\begin{array}{l}\phantom{11)}02\phantom{5}\\11\overline{)2521}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}32\\\end{array}$$

Find closest multiple of 11 to 32. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 32 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}022\phantom{6}\\11\overline{)2521}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}32\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)9}10\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2521

$$\begin{array}{l}\phantom{11)}022\phantom{7}\\11\overline{)2521}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}32\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)9}101\\\end{array}$$

Find closest multiple of 11 to 101. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 101 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}0229\phantom{8}\\11\overline{)2521}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)9}32\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)9}101\\\phantom{11)}\underline{\phantom{99}99\phantom{}}\\\phantom{11)999}2\\\end{array}$$

Since 2 is less than 11, stop the division. The reminder is 2. The topmost line 0229 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 229.

$$\text{Quotient: }229 \text{Reminder: }2$$

Factor

$$\frac{2521}{11} = 229\frac{2}{11} = 229.1818181818182$$