Solve 1500div59

$$1500 \div 59$$

Evaluate

$$\frac{1500}{59}\approx 25.423728814$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1500

$$\begin{array}{l}\phantom{59)}\phantom{1}\\59\overline{)1500}\\\end{array}$$

Since 1 is less than 59, use the next digit 5 from dividend 1500 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}0\phantom{2}\\59\overline{)1500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1500

$$\begin{array}{l}\phantom{59)}0\phantom{3}\\59\overline{)1500}\\\end{array}$$

Since 15 is less than 59, use the next digit 0 from dividend 1500 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}00\phantom{4}\\59\overline{)1500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1500

$$\begin{array}{l}\phantom{59)}00\phantom{5}\\59\overline{)1500}\\\end{array}$$

Find closest multiple of 59 to 150. We see that 2 \times 59 = 118 is the nearest. Now subtract 118 from 150 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{59)}002\phantom{6}\\59\overline{)1500}\\\phantom{59)}\underline{\phantom{}118\phantom{9}}\\\phantom{59)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1500

$$\begin{array}{l}\phantom{59)}002\phantom{7}\\59\overline{)1500}\\\phantom{59)}\underline{\phantom{}118\phantom{9}}\\\phantom{59)9}320\\\end{array}$$

Find closest multiple of 59 to 320. We see that 5 \times 59 = 295 is the nearest. Now subtract 295 from 320 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{59)}0025\phantom{8}\\59\overline{)1500}\\\phantom{59)}\underline{\phantom{}118\phantom{9}}\\\phantom{59)9}320\\\phantom{59)}\underline{\phantom{9}295\phantom{}}\\\phantom{59)99}25\\\end{array}$$

Since 25 is less than 59, stop the division. The reminder is 25. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3}}{59} = 25\frac{25}{59} = 25.423728813559322$$