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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 697 · 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. 1.94748 ÷ 97 =
  2. 2.8682 ÷ 97 =
  3. 3.51339 ÷ 89 =
  4. 4.370128 ÷ 989 =
  5. 5.25078 ÷ 97 =
  6. 6.29861 ÷ 98 =
  7. 7.43736 ÷ 997 =
  8. 8.29559 ÷ 98 =
  9. 9.199939 ÷ 998 =
  10. 10.80015 ÷ 88 =
  11. 11.236169 ÷ 997 =
  12. 12.38695 ÷ 97 =
  13. 13.27182 ÷ 96 =
  14. 14.94630 ÷ 96 =
  15. 15.64011 ÷ 88 =
  16. 16.65652 ÷ 97 =
  17. 17.237518 ÷ 989 =
  18. 18.544500 ÷ 998 =
  19. 19.719682 ÷ 897 =
  20. 20.52080 ÷ 98 =
  21. 21.3018 ÷ 8 =
  22. 22.60364 ÷ 89 =
  23. 23.688767 ÷ 998 =
  24. 24.453677 ÷ 989 =
  25. 25.54686 ÷ 88 =
  26. 26.53088 ÷ 89 =
  27. 27.46919 ÷ 98 =
  28. 28.2346 ÷ 8 =
  29. 29.33057 ÷ 89 =
  30. 30.16107 ÷ 88 =
  31. 31.5531 ÷ 8 =
  32. 32.35349 ÷ 98 =
  33. 33.798244 ÷ 988 =
  34. 34.229507 ÷ 988 =
  35. 35.30610 ÷ 98 =
  36. 36.319046 ÷ 997 =
  37. 37.7311 ÷ 8 =
  38. 38.522124 ÷ 998 =
  39. 39.434205 ÷ 997 =
  40. 40.9215 ÷ 8 =

Answer key

  1. 976 rem 76
  2. 89 rem 49
  3. 576 rem 75
  4. 374 rem 242
  5. 258 rem 52
  6. 304 rem 69
  7. 43 rem 865
  8. 301 rem 61
  9. 200 rem 339
  10. 909 rem 23
  11. 236 rem 877
  12. 398 rem 89
  13. 283 rem 14
  14. 985 rem 70
  15. 727 rem 35
  16. 676 rem 80
  17. 240 rem 158
  18. 545 rem 590
  19. 802 rem 288
  20. 531 rem 42
  21. 377 rem 2
  22. 678 rem 22
  23. 690 rem 147
  24. 458 rem 715
  25. 621 rem 38
  26. 596 rem 44
  27. 478 rem 75
  28. 293 rem 2
  29. 371 rem 38
  30. 183 rem 3
  31. 691 rem 3
  32. 360 rem 69
  33. 807 rem 928
  34. 232 rem 291
  35. 312 rem 34
  36. 320 rem 6
  37. 913 rem 7
  38. 523 rem 170
  39. 435 rem 510
  40. 1151 rem 7

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