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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 534 · 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. 1.664366 ÷ 998 =
  2. 2.55600 ÷ 98 =
  3. 3.7930 ÷ 97 =
  4. 4.78825 ÷ 88 =
  5. 5.714355 ÷ 897 =
  6. 6.72725 ÷ 98 =
  7. 7.201084 ÷ 897 =
  8. 8.2221 ÷ 8 =
  9. 9.905028 ÷ 989 =
  10. 10.6470 ÷ 97 =
  11. 11.636919 ÷ 998 =
  12. 12.329227 ÷ 988 =
  13. 13.34724 ÷ 98 =
  14. 14.8455 ÷ 8 =
  15. 15.369470 ÷ 897 =
  16. 16.4807 ÷ 96 =
  17. 17.84876 ÷ 88 =
  18. 18.6313 ÷ 97 =
  19. 19.979431 ÷ 998 =
  20. 20.61778 ÷ 98 =
  21. 21.2347 ÷ 8 =
  22. 22.73282 ÷ 96 =
  23. 23.691953 ÷ 998 =
  24. 24.5196 ÷ 8 =
  25. 25.1189 ÷ 8 =
  26. 26.48516 ÷ 989 =
  27. 27.36541 ÷ 97 =
  28. 28.4438 ÷ 8 =
  29. 29.29378 ÷ 97 =
  30. 30.25823 ÷ 998 =
  31. 31.38032 ÷ 98 =
  32. 32.484164 ÷ 998 =
  33. 33.778481 ÷ 988 =
  34. 34.465139 ÷ 897 =
  35. 35.497660 ÷ 989 =
  36. 36.214627 ÷ 989 =
  37. 37.968893 ÷ 988 =
  38. 38.34518 ÷ 897 =
  39. 39.95572 ÷ 96 =
  40. 40.15913 ÷ 96 =

Answer key

  1. 665 rem 696
  2. 567 rem 34
  3. 81 rem 73
  4. 895 rem 65
  5. 796 rem 343
  6. 742 rem 9
  7. 224 rem 156
  8. 277 rem 5
  9. 915 rem 93
  10. 66 rem 68
  11. 638 rem 195
  12. 333 rem 223
  13. 354 rem 32
  14. 1056 rem 7
  15. 411 rem 803
  16. 50 rem 7
  17. 964 rem 44
  18. 65 rem 8
  19. 981 rem 393
  20. 630 rem 38
  21. 293 rem 3
  22. 763 rem 34
  23. 693 rem 339
  24. 649 rem 4
  25. 148 rem 5
  26. 49 rem 55
  27. 376 rem 69
  28. 554 rem 6
  29. 302 rem 84
  30. 25 rem 873
  31. 388 rem 8
  32. 485 rem 134
  33. 787 rem 925
  34. 518 rem 493
  35. 503 rem 193
  36. 217 rem 14
  37. 980 rem 653
  38. 38 rem 432
  39. 995 rem 52
  40. 165 rem 73

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