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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 109 · 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. 1.89614 ÷ 88 =
  2. 2.572480 ÷ 988 =
  3. 3.241105 ÷ 988 =
  4. 4.74778 ÷ 97 =
  5. 5.669379 ÷ 988 =
  6. 6.5487 ÷ 8 =
  7. 7.95561 ÷ 97 =
  8. 8.339000 ÷ 988 =
  9. 9.42082 ÷ 97 =
  10. 10.87947 ÷ 96 =
  11. 11.59683 ÷ 88 =
  12. 12.925608 ÷ 988 =
  13. 13.58466 ÷ 89 =
  14. 14.66264 ÷ 897 =
  15. 15.56635 ÷ 98 =
  16. 16.431765 ÷ 897 =
  17. 17.46923 ÷ 88 =
  18. 18.13976 ÷ 96 =
  19. 19.987376 ÷ 989 =
  20. 20.200848 ÷ 997 =
  21. 21.39686 ÷ 97 =
  22. 22.35382 ÷ 96 =
  23. 23.818437 ÷ 998 =
  24. 24.57232 ÷ 97 =
  25. 25.597508 ÷ 998 =
  26. 26.69572 ÷ 97 =
  27. 27.670795 ÷ 997 =
  28. 28.928271 ÷ 988 =
  29. 29.832026 ÷ 988 =
  30. 30.305666 ÷ 989 =
  31. 31.707887 ÷ 998 =
  32. 32.911595 ÷ 997 =
  33. 33.939540 ÷ 997 =
  34. 34.408324 ÷ 989 =
  35. 35.903514 ÷ 998 =
  36. 36.389279 ÷ 998 =
  37. 37.31362 ÷ 98 =
  38. 38.93940 ÷ 88 =
  39. 39.10005 ÷ 89 =
  40. 40.2245 ÷ 8 =

Answer key

  1. 1018 rem 30
  2. 579 rem 428
  3. 244 rem 33
  4. 770 rem 88
  5. 677 rem 503
  6. 685 rem 7
  7. 985 rem 16
  8. 343 rem 116
  9. 433 rem 81
  10. 916 rem 11
  11. 678 rem 19
  12. 936 rem 840
  13. 656 rem 82
  14. 73 rem 783
  15. 577 rem 89
  16. 481 rem 308
  17. 533 rem 19
  18. 145 rem 56
  19. 998 rem 354
  20. 201 rem 451
  21. 409 rem 13
  22. 368 rem 54
  23. 820 rem 77
  24. 590 rem 2
  25. 598 rem 704
  26. 717 rem 23
  27. 672 rem 811
  28. 939 rem 539
  29. 842 rem 130
  30. 309 rem 65
  31. 709 rem 305
  32. 914 rem 337
  33. 942 rem 366
  34. 412 rem 856
  35. 905 rem 324
  36. 390 rem 59
  37. 320 rem 2
  38. 1067 rem 44
  39. 112 rem 37
  40. 280 rem 5

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