Solve 2125div22

$$2125 \div 22$$

Evaluate

$$\frac{2125}{22}\approx 96.590909091$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2125

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)2125}\\\end{array}$$

Since 2 is less than 22, use the next digit 1 from dividend 2125 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)2125}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2125

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)2125}\\\end{array}$$

Since 21 is less than 22, use the next digit 2 from dividend 2125 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)2125}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2125

$$\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)2125}\\\end{array}$$

Find closest multiple of 22 to 212. We see that 9 \times 22 = 198 is the nearest. Now subtract 198 from 212 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{22)}009\phantom{6}\\22\overline{)2125}\\\phantom{22)}\underline{\phantom{}198\phantom{9}}\\\phantom{22)9}14\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2125

$$\begin{array}{l}\phantom{22)}009\phantom{7}\\22\overline{)2125}\\\phantom{22)}\underline{\phantom{}198\phantom{9}}\\\phantom{22)9}145\\\end{array}$$

Find closest multiple of 22 to 145. We see that 6 \times 22 = 132 is the nearest. Now subtract 132 from 145 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{22)}0096\phantom{8}\\22\overline{)2125}\\\phantom{22)}\underline{\phantom{}198\phantom{9}}\\\phantom{22)9}145\\\phantom{22)}\underline{\phantom{9}132\phantom{}}\\\phantom{22)99}13\\\end{array}$$

Since 13 is less than 22, stop the division. The reminder is 13. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.

$$\text{Quotient: }96 \text{Reminder: }13$$

Factor

$$\frac{5 ^ {3} \cdot 17}{2 \cdot 11} = 96\frac{13}{22} = 96.5909090909091$$