Solve 1870:25

$$1870 : 25$$

Evaluate

$$\frac{374}{5}=74.8$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1870

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1870}\\\end{array}$$

Since 1 is less than 25, use the next digit 8 from dividend 1870 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1870}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1870

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1870}\\\end{array}$$

Since 18 is less than 25, use the next digit 7 from dividend 1870 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1870}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1870

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1870}\\\end{array}$$

Find closest multiple of 25 to 187. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 187 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)1870}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1870

$$\begin{array}{l}\phantom{25)}007\phantom{7}\\25\overline{)1870}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}120\\\end{array}$$

Find closest multiple of 25 to 120. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 120 to get reminder 20. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}0074\phantom{8}\\25\overline{)1870}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}120\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)99}20\\\end{array}$$

Since 20 is less than 25, stop the division. The reminder is 20. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.

$$\text{Quotient: }74 \text{Reminder: }20$$

Factor

$$\frac{2 \cdot 11 \cdot 17}{5} = 74\frac{4}{5} = 74.8$$