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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 654 · 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. 1.9264 ÷ 8 =
  2. 2.503211 ÷ 897 =
  3. 3.3198 ÷ 97 =
  4. 4.62659 ÷ 97 =
  5. 5.2773 ÷ 8 =
  6. 6.20233 ÷ 96 =
  7. 7.35207 ÷ 89 =
  8. 8.853245 ÷ 997 =
  9. 9.591175 ÷ 897 =
  10. 10.4519 ÷ 8 =
  11. 11.661008 ÷ 997 =
  12. 12.253494 ÷ 897 =
  13. 13.47668 ÷ 96 =
  14. 14.585912 ÷ 989 =
  15. 15.474783 ÷ 997 =
  16. 16.24458 ÷ 98 =
  17. 17.95834 ÷ 997 =
  18. 18.2431 ÷ 8 =
  19. 19.45788 ÷ 89 =
  20. 20.80513 ÷ 97 =
  21. 21.891 ÷ 8 =
  22. 22.72647 ÷ 96 =
  23. 23.3032 ÷ 8 =
  24. 24.36021 ÷ 88 =
  25. 25.397677 ÷ 989 =
  26. 26.94555 ÷ 98 =
  27. 27.7481 ÷ 97 =
  28. 28.756105 ÷ 997 =
  29. 29.958322 ÷ 998 =
  30. 30.794520 ÷ 897 =
  31. 31.25161 ÷ 96 =
  32. 32.21503 ÷ 88 =
  33. 33.8280 ÷ 88 =
  34. 34.46056 ÷ 88 =
  35. 35.213328 ÷ 988 =
  36. 36.674687 ÷ 998 =
  37. 37.881190 ÷ 897 =
  38. 38.94083 ÷ 998 =
  39. 39.3276 ÷ 8 =
  40. 40.712 ÷ 8 =

Answer key

  1. 1158 rem 0
  2. 560 rem 891
  3. 32 rem 94
  4. 645 rem 94
  5. 346 rem 5
  6. 210 rem 73
  7. 395 rem 52
  8. 855 rem 810
  9. 659 rem 52
  10. 564 rem 7
  11. 662 rem 994
  12. 282 rem 540
  13. 496 rem 52
  14. 592 rem 424
  15. 476 rem 211
  16. 249 rem 56
  17. 96 rem 122
  18. 303 rem 7
  19. 514 rem 42
  20. 830 rem 3
  21. 111 rem 3
  22. 756 rem 71
  23. 379 rem 0
  24. 409 rem 29
  25. 402 rem 99
  26. 964 rem 83
  27. 77 rem 12
  28. 758 rem 379
  29. 960 rem 242
  30. 885 rem 675
  31. 262 rem 9
  32. 244 rem 31
  33. 94 rem 8
  34. 523 rem 32
  35. 215 rem 908
  36. 676 rem 39
  37. 982 rem 336
  38. 94 rem 271
  39. 409 rem 4
  40. 89 rem 0

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