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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 229 · 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. 1.300697 ÷ 998 =
  2. 2.2138 ÷ 88 =
  3. 3.472284 ÷ 897 =
  4. 4.470975 ÷ 997 =
  5. 5.348638 ÷ 998 =
  6. 6.17373 ÷ 89 =
  7. 7.320551 ÷ 897 =
  8. 8.74362 ÷ 89 =
  9. 9.3565 ÷ 8 =
  10. 10.18425 ÷ 89 =
  11. 11.12420 ÷ 96 =
  12. 12.886313 ÷ 998 =
  13. 13.38967 ÷ 89 =
  14. 14.788104 ÷ 997 =
  15. 15.94541 ÷ 98 =
  16. 16.103032 ÷ 988 =
  17. 17.87014 ÷ 97 =
  18. 18.3629 ÷ 89 =
  19. 19.122182 ÷ 998 =
  20. 20.38206 ÷ 97 =
  21. 21.98542 ÷ 88 =
  22. 22.674292 ÷ 988 =
  23. 23.34188 ÷ 998 =
  24. 24.635983 ÷ 897 =
  25. 25.93137 ÷ 97 =
  26. 26.53434 ÷ 97 =
  27. 27.77317 ÷ 98 =
  28. 28.431514 ÷ 998 =
  29. 29.528943 ÷ 997 =
  30. 30.20198 ÷ 89 =
  31. 31.29237 ÷ 89 =
  32. 32.27772 ÷ 88 =
  33. 33.40992 ÷ 89 =
  34. 34.57612 ÷ 96 =
  35. 35.84058 ÷ 96 =
  36. 36.95535 ÷ 98 =
  37. 37.76339 ÷ 98 =
  38. 38.777952 ÷ 988 =
  39. 39.376394 ÷ 897 =
  40. 40.851568 ÷ 989 =

Answer key

  1. 301 rem 299
  2. 24 rem 26
  3. 526 rem 462
  4. 472 rem 391
  5. 349 rem 336
  6. 195 rem 18
  7. 357 rem 322
  8. 835 rem 47
  9. 445 rem 5
  10. 207 rem 2
  11. 129 rem 36
  12. 888 rem 89
  13. 437 rem 74
  14. 790 rem 474
  15. 964 rem 69
  16. 104 rem 280
  17. 897 rem 5
  18. 40 rem 69
  19. 122 rem 426
  20. 393 rem 85
  21. 1119 rem 70
  22. 682 rem 476
  23. 34 rem 256
  24. 709 rem 10
  25. 960 rem 17
  26. 550 rem 84
  27. 788 rem 93
  28. 432 rem 378
  29. 530 rem 533
  30. 226 rem 84
  31. 328 rem 45
  32. 315 rem 52
  33. 460 rem 52
  34. 600 rem 12
  35. 875 rem 58
  36. 974 rem 83
  37. 778 rem 95
  38. 787 rem 396
  39. 419 rem 551
  40. 861 rem 39

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