Solve 2242/59

$$\frac { 2242 } { 59 }$$

Evaluate

$$38$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2242

$$\begin{array}{l}\phantom{59)}\phantom{1}\\59\overline{)2242}\\\end{array}$$

Since 2 is less than 59, use the next digit 2 from dividend 2242 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}0\phantom{2}\\59\overline{)2242}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2242

$$\begin{array}{l}\phantom{59)}0\phantom{3}\\59\overline{)2242}\\\end{array}$$

Since 22 is less than 59, use the next digit 4 from dividend 2242 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}00\phantom{4}\\59\overline{)2242}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2242

$$\begin{array}{l}\phantom{59)}00\phantom{5}\\59\overline{)2242}\\\end{array}$$

Find closest multiple of 59 to 224. We see that 3 \times 59 = 177 is the nearest. Now subtract 177 from 224 to get reminder 47. Add 3 to quotient.

$$\begin{array}{l}\phantom{59)}003\phantom{6}\\59\overline{)2242}\\\phantom{59)}\underline{\phantom{}177\phantom{9}}\\\phantom{59)9}47\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2242

$$\begin{array}{l}\phantom{59)}003\phantom{7}\\59\overline{)2242}\\\phantom{59)}\underline{\phantom{}177\phantom{9}}\\\phantom{59)9}472\\\end{array}$$

Find closest multiple of 59 to 472. We see that 8 \times 59 = 472 is the nearest. Now subtract 472 from 472 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{59)}0038\phantom{8}\\59\overline{)2242}\\\phantom{59)}\underline{\phantom{}177\phantom{9}}\\\phantom{59)9}472\\\phantom{59)}\underline{\phantom{9}472\phantom{}}\\\phantom{59)9999}0\\\end{array}$$

Since 0 is less than 59, stop the division. The reminder is 0. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }0$$

Factor

$$2\times 19$$