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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 184 · 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. 1.97955 ÷ 97 =
  2. 2.43425 ÷ 97 =
  3. 3.70072 ÷ 89 =
  4. 4.9012 ÷ 97 =
  5. 5.607917 ÷ 997 =
  6. 6.93839 ÷ 97 =
  7. 7.87428 ÷ 96 =
  8. 8.448605 ÷ 998 =
  9. 9.18543 ÷ 97 =
  10. 10.23615 ÷ 897 =
  11. 11.996517 ÷ 989 =
  12. 12.46597 ÷ 97 =
  13. 13.998609 ÷ 989 =
  14. 14.456054 ÷ 897 =
  15. 15.25573 ÷ 88 =
  16. 16.57117 ÷ 98 =
  17. 17.949078 ÷ 989 =
  18. 18.845218 ÷ 989 =
  19. 19.220686 ÷ 998 =
  20. 20.57103 ÷ 88 =
  21. 21.884473 ÷ 988 =
  22. 22.459158 ÷ 997 =
  23. 23.247 ÷ 8 =
  24. 24.915233 ÷ 989 =
  25. 25.86437 ÷ 89 =
  26. 26.957059 ÷ 988 =
  27. 27.976569 ÷ 897 =
  28. 28.14536 ÷ 89 =
  29. 29.380804 ÷ 897 =
  30. 30.7398 ÷ 8 =
  31. 31.51613 ÷ 96 =
  32. 32.344205 ÷ 989 =
  33. 33.449254 ÷ 997 =
  34. 34.824824 ÷ 897 =
  35. 35.47066 ÷ 897 =
  36. 36.24487 ÷ 89 =
  37. 37.40112 ÷ 88 =
  38. 38.68404 ÷ 88 =
  39. 39.29156 ÷ 98 =
  40. 40.53910 ÷ 96 =

Answer key

  1. 1009 rem 82
  2. 447 rem 66
  3. 787 rem 29
  4. 92 rem 88
  5. 609 rem 744
  6. 967 rem 40
  7. 910 rem 68
  8. 449 rem 503
  9. 191 rem 16
  10. 26 rem 293
  11. 1007 rem 594
  12. 480 rem 37
  13. 1009 rem 708
  14. 508 rem 378
  15. 290 rem 53
  16. 582 rem 81
  17. 959 rem 627
  18. 854 rem 612
  19. 221 rem 128
  20. 648 rem 79
  21. 895 rem 213
  22. 460 rem 538
  23. 30 rem 7
  24. 925 rem 408
  25. 971 rem 18
  26. 968 rem 675
  27. 1088 rem 633
  28. 163 rem 29
  29. 424 rem 476
  30. 924 rem 6
  31. 537 rem 61
  32. 348 rem 33
  33. 450 rem 604
  34. 919 rem 481
  35. 52 rem 422
  36. 275 rem 12
  37. 455 rem 72
  38. 777 rem 28
  39. 297 rem 50
  40. 561 rem 54

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