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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 145 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.1635 ÷ 98 =
  2. 2.21292 ÷ 98 =
  3. 3.13065 ÷ 88 =
  4. 4.654754 ÷ 997 =
  5. 5.17987 ÷ 96 =
  6. 6.52625 ÷ 89 =
  7. 7.108500 ÷ 998 =
  8. 8.81302 ÷ 97 =
  9. 9.648626 ÷ 988 =
  10. 10.15148 ÷ 97 =
  11. 11.279106 ÷ 897 =
  12. 12.25596 ÷ 97 =
  13. 13.47927 ÷ 96 =
  14. 14.467520 ÷ 897 =
  15. 15.599656 ÷ 989 =
  16. 16.84204 ÷ 97 =
  17. 17.634305 ÷ 997 =
  18. 18.4933 ÷ 8 =
  19. 19.70730 ÷ 89 =
  20. 20.9235 ÷ 8 =
  21. 21.847473 ÷ 997 =
  22. 22.209862 ÷ 988 =
  23. 23.129011 ÷ 998 =
  24. 24.42710 ÷ 97 =
  25. 25.64167 ÷ 97 =
  26. 26.360343 ÷ 997 =
  27. 27.87999 ÷ 96 =
  28. 28.52740 ÷ 88 =
  29. 29.13845 ÷ 97 =
  30. 30.4194 ÷ 96 =
  31. 31.2590 ÷ 97 =
  32. 32.867975 ÷ 988 =
  33. 33.9701 ÷ 89 =
  34. 34.381634 ÷ 998 =
  35. 35.24536 ÷ 97 =
  36. 36.17430 ÷ 98 =
  37. 37.75398 ÷ 96 =
  38. 38.2750 ÷ 8 =
  39. 39.23970 ÷ 98 =
  40. 40.83128 ÷ 97 =

Answer key

  1. 16 rem 67
  2. 217 rem 26
  3. 148 rem 41
  4. 656 rem 722
  5. 187 rem 35
  6. 591 rem 26
  7. 108 rem 716
  8. 838 rem 16
  9. 656 rem 498
  10. 156 rem 16
  11. 311 rem 139
  12. 263 rem 85
  13. 499 rem 23
  14. 521 rem 183
  15. 606 rem 322
  16. 868 rem 8
  17. 636 rem 213
  18. 616 rem 5
  19. 794 rem 64
  20. 1154 rem 3
  21. 850 rem 23
  22. 212 rem 406
  23. 129 rem 269
  24. 440 rem 30
  25. 661 rem 50
  26. 361 rem 426
  27. 916 rem 63
  28. 599 rem 28
  29. 142 rem 71
  30. 43 rem 66
  31. 26 rem 68
  32. 878 rem 511
  33. 109 rem 0
  34. 382 rem 398
  35. 252 rem 92
  36. 177 rem 84
  37. 785 rem 38
  38. 343 rem 6
  39. 244 rem 58
  40. 856 rem 96

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