Solve 5740/215

$$\frac { 5740 } { 215 }$$

Evaluate

$$\frac{1148}{43}\approx 26.697674419$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5740

$$\begin{array}{l}\phantom{215)}\phantom{1}\\215\overline{)5740}\\\end{array}$$

Since 5 is less than 215, use the next digit 7 from dividend 5740 and add 0 to the quotient

$$\begin{array}{l}\phantom{215)}0\phantom{2}\\215\overline{)5740}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5740

$$\begin{array}{l}\phantom{215)}0\phantom{3}\\215\overline{)5740}\\\end{array}$$

Since 57 is less than 215, use the next digit 4 from dividend 5740 and add 0 to the quotient

$$\begin{array}{l}\phantom{215)}00\phantom{4}\\215\overline{)5740}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 5740

$$\begin{array}{l}\phantom{215)}00\phantom{5}\\215\overline{)5740}\\\end{array}$$

Find closest multiple of 215 to 574. We see that 2 \times 215 = 430 is the nearest. Now subtract 430 from 574 to get reminder 144. Add 2 to quotient.

$$\begin{array}{l}\phantom{215)}002\phantom{6}\\215\overline{)5740}\\\phantom{215)}\underline{\phantom{}430\phantom{9}}\\\phantom{215)}144\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5740

$$\begin{array}{l}\phantom{215)}002\phantom{7}\\215\overline{)5740}\\\phantom{215)}\underline{\phantom{}430\phantom{9}}\\\phantom{215)}1440\\\end{array}$$

Find closest multiple of 215 to 1440. We see that 6 \times 215 = 1290 is the nearest. Now subtract 1290 from 1440 to get reminder 150. Add 6 to quotient.

$$\begin{array}{l}\phantom{215)}0026\phantom{8}\\215\overline{)5740}\\\phantom{215)}\underline{\phantom{}430\phantom{9}}\\\phantom{215)}1440\\\phantom{215)}\underline{\phantom{}1290\phantom{}}\\\phantom{215)9}150\\\end{array}$$

Since 150 is less than 215, stop the division. The reminder is 150. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }150$$

Factor

$$\frac{2 ^ {2} \cdot 7 \cdot 41}{43} = 26\frac{30}{43} = 26.697674418604652$$