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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 57 · 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. 1.83611 ÷ 89 =
  2. 2.70227 ÷ 97 =
  3. 3.49158 ÷ 97 =
  4. 4.102593 ÷ 988 =
  5. 5.433762 ÷ 989 =
  6. 6.3047 ÷ 8 =
  7. 7.928320 ÷ 989 =
  8. 8.676124 ÷ 998 =
  9. 9.2456 ÷ 8 =
  10. 10.177783 ÷ 897 =
  11. 11.3383 ÷ 8 =
  12. 12.789824 ÷ 998 =
  13. 13.969084 ÷ 897 =
  14. 14.7436 ÷ 8 =
  15. 15.701395 ÷ 988 =
  16. 16.212559 ÷ 988 =
  17. 17.42802 ÷ 98 =
  18. 18.83768 ÷ 88 =
  19. 19.8881 ÷ 8 =
  20. 20.81594 ÷ 89 =
  21. 21.69655 ÷ 89 =
  22. 22.642409 ÷ 988 =
  23. 23.338943 ÷ 998 =
  24. 24.42751 ÷ 988 =
  25. 25.371484 ÷ 897 =
  26. 26.4496 ÷ 8 =
  27. 27.804606 ÷ 988 =
  28. 28.39792 ÷ 989 =
  29. 29.61619 ÷ 96 =
  30. 30.18613 ÷ 989 =
  31. 31.34594 ÷ 98 =
  32. 32.521387 ÷ 989 =
  33. 33.379565 ÷ 997 =
  34. 34.2834 ÷ 8 =
  35. 35.3197 ÷ 96 =
  36. 36.69001 ÷ 89 =
  37. 37.32671 ÷ 96 =
  38. 38.854127 ÷ 988 =
  39. 39.8325 ÷ 97 =
  40. 40.53478 ÷ 96 =

Answer key

  1. 939 rem 40
  2. 723 rem 96
  3. 506 rem 76
  4. 103 rem 829
  5. 438 rem 580
  6. 380 rem 7
  7. 938 rem 638
  8. 677 rem 478
  9. 307 rem 0
  10. 198 rem 177
  11. 422 rem 7
  12. 791 rem 406
  13. 1080 rem 324
  14. 929 rem 4
  15. 709 rem 903
  16. 215 rem 139
  17. 436 rem 74
  18. 951 rem 80
  19. 1110 rem 1
  20. 916 rem 70
  21. 782 rem 57
  22. 650 rem 209
  23. 339 rem 621
  24. 43 rem 267
  25. 414 rem 126
  26. 562 rem 0
  27. 814 rem 374
  28. 40 rem 232
  29. 641 rem 83
  30. 18 rem 811
  31. 353 rem 0
  32. 527 rem 184
  33. 380 rem 705
  34. 354 rem 2
  35. 33 rem 29
  36. 775 rem 26
  37. 340 rem 31
  38. 864 rem 495
  39. 85 rem 80
  40. 557 rem 6

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