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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 351 · 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. 1.39287 ÷ 97 =
  2. 2.953075 ÷ 998 =
  3. 3.552300 ÷ 988 =
  4. 4.3312 ÷ 98 =
  5. 5.42997 ÷ 88 =
  6. 6.779373 ÷ 998 =
  7. 7.12697 ÷ 88 =
  8. 8.42405 ÷ 89 =
  9. 9.81352 ÷ 88 =
  10. 10.91397 ÷ 96 =
  11. 11.509203 ÷ 897 =
  12. 12.690820 ÷ 997 =
  13. 13.48375 ÷ 997 =
  14. 14.5336 ÷ 8 =
  15. 15.41422 ÷ 96 =
  16. 16.38239 ÷ 97 =
  17. 17.967494 ÷ 897 =
  18. 18.177272 ÷ 897 =
  19. 19.102683 ÷ 989 =
  20. 20.752607 ÷ 989 =
  21. 21.901938 ÷ 989 =
  22. 22.39802 ÷ 88 =
  23. 23.7987 ÷ 8 =
  24. 24.97484 ÷ 97 =
  25. 25.2201 ÷ 96 =
  26. 26.55550 ÷ 97 =
  27. 27.86312 ÷ 89 =
  28. 28.4520 ÷ 98 =
  29. 29.759472 ÷ 988 =
  30. 30.93439 ÷ 89 =
  31. 31.93210 ÷ 98 =
  32. 32.5050 ÷ 8 =
  33. 33.49536 ÷ 88 =
  34. 34.5170 ÷ 8 =
  35. 35.43392 ÷ 89 =
  36. 36.9537 ÷ 8 =
  37. 37.9631 ÷ 8 =
  38. 38.702977 ÷ 998 =
  39. 39.297689 ÷ 997 =
  40. 40.868 ÷ 8 =

Answer key

  1. 405 rem 2
  2. 954 rem 983
  3. 559 rem 8
  4. 33 rem 78
  5. 488 rem 53
  6. 780 rem 933
  7. 144 rem 25
  8. 476 rem 41
  9. 924 rem 40
  10. 952 rem 5
  11. 567 rem 604
  12. 692 rem 896
  13. 48 rem 519
  14. 667 rem 0
  15. 431 rem 46
  16. 394 rem 21
  17. 1078 rem 528
  18. 197 rem 563
  19. 103 rem 816
  20. 760 rem 967
  21. 911 rem 959
  22. 452 rem 26
  23. 998 rem 3
  24. 1004 rem 96
  25. 22 rem 89
  26. 572 rem 66
  27. 969 rem 71
  28. 46 rem 12
  29. 768 rem 688
  30. 1049 rem 78
  31. 951 rem 12
  32. 631 rem 2
  33. 562 rem 80
  34. 646 rem 2
  35. 487 rem 49
  36. 1192 rem 1
  37. 1203 rem 7
  38. 704 rem 385
  39. 298 rem 583
  40. 108 rem 4

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