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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 909 · 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. 1.11652 ÷ 96 =
  2. 2.6176 ÷ 8 =
  3. 3.496657 ÷ 989 =
  4. 4.63235 ÷ 88 =
  5. 5.270846 ÷ 989 =
  6. 6.23120 ÷ 98 =
  7. 7.1434 ÷ 8 =
  8. 8.747888 ÷ 989 =
  9. 9.120115 ÷ 988 =
  10. 10.954666 ÷ 988 =
  11. 11.85882 ÷ 988 =
  12. 12.24080 ÷ 88 =
  13. 13.390701 ÷ 897 =
  14. 14.308854 ÷ 997 =
  15. 15.555402 ÷ 998 =
  16. 16.4385 ÷ 8 =
  17. 17.37201 ÷ 96 =
  18. 18.5786 ÷ 8 =
  19. 19.7186 ÷ 96 =
  20. 20.17377 ÷ 98 =
  21. 21.95155 ÷ 98 =
  22. 22.1074 ÷ 97 =
  23. 23.403308 ÷ 997 =
  24. 24.45451 ÷ 998 =
  25. 25.4264 ÷ 88 =
  26. 26.745028 ÷ 998 =
  27. 27.8000 ÷ 8 =
  28. 28.28580 ÷ 96 =
  29. 29.332336 ÷ 988 =
  30. 30.63679 ÷ 96 =
  31. 31.955204 ÷ 988 =
  32. 32.2550 ÷ 96 =
  33. 33.38957 ÷ 96 =
  34. 34.95440 ÷ 989 =
  35. 35.218157 ÷ 989 =
  36. 36.313461 ÷ 989 =
  37. 37.548304 ÷ 988 =
  38. 38.49996 ÷ 97 =
  39. 39.26337 ÷ 98 =
  40. 40.79617 ÷ 89 =

Answer key

  1. 121 rem 36
  2. 772 rem 0
  3. 502 rem 179
  4. 718 rem 51
  5. 273 rem 849
  6. 235 rem 90
  7. 179 rem 2
  8. 756 rem 204
  9. 121 rem 567
  10. 966 rem 258
  11. 86 rem 914
  12. 273 rem 56
  13. 435 rem 506
  14. 309 rem 781
  15. 556 rem 514
  16. 548 rem 1
  17. 387 rem 49
  18. 723 rem 2
  19. 74 rem 82
  20. 177 rem 31
  21. 970 rem 95
  22. 11 rem 7
  23. 404 rem 520
  24. 45 rem 541
  25. 48 rem 40
  26. 746 rem 520
  27. 1000 rem 0
  28. 297 rem 68
  29. 336 rem 368
  30. 663 rem 31
  31. 966 rem 796
  32. 26 rem 54
  33. 405 rem 77
  34. 96 rem 496
  35. 220 rem 577
  36. 316 rem 937
  37. 554 rem 952
  38. 515 rem 41
  39. 268 rem 73
  40. 894 rem 51

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