Solve 2249:17=

$$2249 : 17 =$$

Evaluate

$$\frac{2249}{17}\approx 132.294117647$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2249

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)2249}\\\end{array}$$

Since 2 is less than 17, use the next digit 2 from dividend 2249 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)2249}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2249

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)2249}\\\end{array}$$

Find closest multiple of 17 to 22. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 22 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)2249}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}5\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2249

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)2249}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}54\\\end{array}$$

Find closest multiple of 17 to 54. We see that 3 \times 17 = 51 is the nearest. Now subtract 51 from 54 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{17)}013\phantom{6}\\17\overline{)2249}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}54\\\phantom{17)}\underline{\phantom{9}51\phantom{9}}\\\phantom{17)99}3\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2249

$$\begin{array}{l}\phantom{17)}013\phantom{7}\\17\overline{)2249}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}54\\\phantom{17)}\underline{\phantom{9}51\phantom{9}}\\\phantom{17)99}39\\\end{array}$$

Find closest multiple of 17 to 39. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 39 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}0132\phantom{8}\\17\overline{)2249}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}54\\\phantom{17)}\underline{\phantom{9}51\phantom{9}}\\\phantom{17)99}39\\\phantom{17)}\underline{\phantom{99}34\phantom{}}\\\phantom{17)999}5\\\end{array}$$

Since 5 is less than 17, stop the division. The reminder is 5. The topmost line 0132 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 132.

$$\text{Quotient: }132 \text{Reminder: }5$$

Factor

$$\frac{13 \cdot 173}{17} = 132\frac{5}{17} = 132.2941176470588$$