Solve 613div35

$$613 \div 35$$

Evaluate

$$\frac{613}{35}\approx 17.514285714$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 613

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)613}\\\end{array}$$

Since 6 is less than 35, use the next digit 1 from dividend 613 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)613}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 613

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)613}\\\end{array}$$

Find closest multiple of 35 to 61. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 61 to get reminder 26. Add 1 to quotient.

$$\begin{array}{l}\phantom{35)}01\phantom{4}\\35\overline{)613}\\\phantom{35)}\underline{\phantom{}35\phantom{9}}\\\phantom{35)}26\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 613

$$\begin{array}{l}\phantom{35)}01\phantom{5}\\35\overline{)613}\\\phantom{35)}\underline{\phantom{}35\phantom{9}}\\\phantom{35)}263\\\end{array}$$

Find closest multiple of 35 to 263. We see that 7 \times 35 = 245 is the nearest. Now subtract 245 from 263 to get reminder 18. Add 7 to quotient.

$$\begin{array}{l}\phantom{35)}017\phantom{6}\\35\overline{)613}\\\phantom{35)}\underline{\phantom{}35\phantom{9}}\\\phantom{35)}263\\\phantom{35)}\underline{\phantom{}245\phantom{}}\\\phantom{35)9}18\\\end{array}$$

Since 18 is less than 35, stop the division. The reminder is 18. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }18$$

Factor

$$\frac{613}{5 \cdot 7} = 17\frac{18}{35} = 17.514285714285716$$