Solve 3000div172

$$3000 \div 172$$

Evaluate

$$\frac{750}{43}\approx 17.441860465$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{172)}\phantom{1}\\172\overline{)3000}\\\end{array}$$

Since 3 is less than 172, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{172)}0\phantom{2}\\172\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{172)}0\phantom{3}\\172\overline{)3000}\\\end{array}$$

Since 30 is less than 172, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{172)}00\phantom{4}\\172\overline{)3000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{172)}00\phantom{5}\\172\overline{)3000}\\\end{array}$$

Find closest multiple of 172 to 300. We see that 1 \times 172 = 172 is the nearest. Now subtract 172 from 300 to get reminder 128. Add 1 to quotient.

$$\begin{array}{l}\phantom{172)}001\phantom{6}\\172\overline{)3000}\\\phantom{172)}\underline{\phantom{}172\phantom{9}}\\\phantom{172)}128\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{172)}001\phantom{7}\\172\overline{)3000}\\\phantom{172)}\underline{\phantom{}172\phantom{9}}\\\phantom{172)}1280\\\end{array}$$

Find closest multiple of 172 to 1280. We see that 7 \times 172 = 1204 is the nearest. Now subtract 1204 from 1280 to get reminder 76. Add 7 to quotient.

$$\begin{array}{l}\phantom{172)}0017\phantom{8}\\172\overline{)3000}\\\phantom{172)}\underline{\phantom{}172\phantom{9}}\\\phantom{172)}1280\\\phantom{172)}\underline{\phantom{}1204\phantom{}}\\\phantom{172)99}76\\\end{array}$$

Since 76 is less than 172, stop the division. The reminder is 76. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }76$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {3}}{43} = 17\frac{19}{43} = 17.441860465116278$$