Solve 3400div60

$$3400 \div 60$$

Evaluate

$$\frac{170}{3}\approx 56.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3400

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)3400}\\\end{array}$$

Since 3 is less than 60, use the next digit 4 from dividend 3400 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)3400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3400

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)3400}\\\end{array}$$

Since 34 is less than 60, use the next digit 0 from dividend 3400 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)3400}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3400

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)3400}\\\end{array}$$

Find closest multiple of 60 to 340. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 340 to get reminder 40. Add 5 to quotient.

$$\begin{array}{l}\phantom{60)}005\phantom{6}\\60\overline{)3400}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}40\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3400

$$\begin{array}{l}\phantom{60)}005\phantom{7}\\60\overline{)3400}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}400\\\end{array}$$

Find closest multiple of 60 to 400. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 6 to quotient.

$$\begin{array}{l}\phantom{60)}0056\phantom{8}\\60\overline{)3400}\\\phantom{60)}\underline{\phantom{}300\phantom{9}}\\\phantom{60)9}400\\\phantom{60)}\underline{\phantom{9}360\phantom{}}\\\phantom{60)99}40\\\end{array}$$

Since 40 is less than 60, stop the division. The reminder is 40. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }40$$

Factor

$$\frac{2 \cdot 5 \cdot 17}{3} = 56\frac{2}{3} = 56.666666666666664$$