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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 169 · 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. 1.302 ÷ 8 =
  2. 2.70216 ÷ 97 =
  3. 3.5823 ÷ 96 =
  4. 4.85378 ÷ 96 =
  5. 5.19376 ÷ 98 =
  6. 6.39278 ÷ 96 =
  7. 7.11954 ÷ 97 =
  8. 8.50601 ÷ 88 =
  9. 9.897876 ÷ 998 =
  10. 10.11529 ÷ 96 =
  11. 11.75784 ÷ 96 =
  12. 12.41735 ÷ 96 =
  13. 13.92520 ÷ 997 =
  14. 14.242502 ÷ 988 =
  15. 15.1510 ÷ 97 =
  16. 16.28707 ÷ 96 =
  17. 17.77769 ÷ 88 =
  18. 18.44401 ÷ 89 =
  19. 19.179361 ÷ 998 =
  20. 20.528328 ÷ 998 =
  21. 21.28156 ÷ 97 =
  22. 22.103263 ÷ 988 =
  23. 23.80183 ÷ 96 =
  24. 24.8030 ÷ 8 =
  25. 25.308356 ÷ 897 =
  26. 26.123274 ÷ 988 =
  27. 27.63730 ÷ 997 =
  28. 28.213677 ÷ 897 =
  29. 29.678318 ÷ 997 =
  30. 30.747110 ÷ 897 =
  31. 31.609872 ÷ 989 =
  32. 32.5532 ÷ 8 =
  33. 33.34674 ÷ 88 =
  34. 34.1900 ÷ 8 =
  35. 35.996007 ÷ 897 =
  36. 36.69613 ÷ 98 =
  37. 37.4473 ÷ 89 =
  38. 38.21254 ÷ 88 =
  39. 39.97974 ÷ 89 =
  40. 40.2618 ÷ 8 =

Answer key

  1. 37 rem 6
  2. 723 rem 85
  3. 60 rem 63
  4. 889 rem 34
  5. 197 rem 70
  6. 409 rem 14
  7. 123 rem 23
  8. 575 rem 1
  9. 899 rem 674
  10. 120 rem 9
  11. 789 rem 40
  12. 434 rem 71
  13. 92 rem 796
  14. 245 rem 442
  15. 15 rem 55
  16. 299 rem 3
  17. 883 rem 65
  18. 498 rem 79
  19. 179 rem 719
  20. 529 rem 386
  21. 290 rem 26
  22. 104 rem 511
  23. 835 rem 23
  24. 1003 rem 6
  25. 343 rem 685
  26. 124 rem 762
  27. 63 rem 919
  28. 238 rem 191
  29. 680 rem 358
  30. 832 rem 806
  31. 616 rem 648
  32. 691 rem 4
  33. 394 rem 2
  34. 237 rem 4
  35. 1110 rem 337
  36. 710 rem 33
  37. 50 rem 23
  38. 241 rem 46
  39. 1100 rem 74
  40. 327 rem 2

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