Solve 1507/55

$$1507 / 55$$

Evaluate

$$\frac{137}{5}=27.4$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1507

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)1507}\\\end{array}$$

Since 1 is less than 55, use the next digit 5 from dividend 1507 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)1507}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1507

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)1507}\\\end{array}$$

Since 15 is less than 55, use the next digit 0 from dividend 1507 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)1507}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1507

$$\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)1507}\\\end{array}$$

Find closest multiple of 55 to 150. We see that 2 \times 55 = 110 is the nearest. Now subtract 110 from 150 to get reminder 40. Add 2 to quotient.

$$\begin{array}{l}\phantom{55)}002\phantom{6}\\55\overline{)1507}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}40\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1507

$$\begin{array}{l}\phantom{55)}002\phantom{7}\\55\overline{)1507}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}407\\\end{array}$$

Find closest multiple of 55 to 407. We see that 7 \times 55 = 385 is the nearest. Now subtract 385 from 407 to get reminder 22. Add 7 to quotient.

$$\begin{array}{l}\phantom{55)}0027\phantom{8}\\55\overline{)1507}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)9}407\\\phantom{55)}\underline{\phantom{9}385\phantom{}}\\\phantom{55)99}22\\\end{array}$$

Since 22 is less than 55, stop the division. The reminder is 22. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }22$$

Factor

$$\frac{137}{5} = 27\frac{2}{5} = 27.4$$