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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 455 · 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. 1.121084 ÷ 897 =
  2. 2.76721 ÷ 897 =
  3. 3.9000 ÷ 8 =
  4. 4.6157 ÷ 8 =
  5. 5.643311 ÷ 997 =
  6. 6.52539 ÷ 97 =
  7. 7.890140 ÷ 989 =
  8. 8.221731 ÷ 897 =
  9. 9.30271 ÷ 98 =
  10. 10.30113 ÷ 96 =
  11. 11.331611 ÷ 998 =
  12. 12.179342 ÷ 989 =
  13. 13.89136 ÷ 988 =
  14. 14.932209 ÷ 988 =
  15. 15.40969 ÷ 98 =
  16. 16.990497 ÷ 988 =
  17. 17.4905 ÷ 97 =
  18. 18.87040 ÷ 88 =
  19. 19.817580 ÷ 997 =
  20. 20.7626 ÷ 8 =
  21. 21.46762 ÷ 98 =
  22. 22.713345 ÷ 998 =
  23. 23.272514 ÷ 998 =
  24. 24.32616 ÷ 897 =
  25. 25.18953 ÷ 98 =
  26. 26.20023 ÷ 88 =
  27. 27.8498 ÷ 98 =
  28. 28.765392 ÷ 998 =
  29. 29.2379 ÷ 98 =
  30. 30.546093 ÷ 989 =
  31. 31.394593 ÷ 989 =
  32. 32.953930 ÷ 997 =
  33. 33.4925 ÷ 88 =
  34. 34.90534 ÷ 89 =
  35. 35.259838 ÷ 989 =
  36. 36.4772 ÷ 8 =
  37. 37.2220 ÷ 8 =
  38. 38.75509 ÷ 98 =
  39. 39.3989 ÷ 8 =
  40. 40.41255 ÷ 97 =

Answer key

  1. 134 rem 886
  2. 85 rem 476
  3. 1125 rem 0
  4. 769 rem 5
  5. 645 rem 246
  6. 541 rem 62
  7. 900 rem 40
  8. 247 rem 172
  9. 308 rem 87
  10. 313 rem 65
  11. 332 rem 275
  12. 181 rem 333
  13. 90 rem 216
  14. 943 rem 525
  15. 418 rem 5
  16. 1002 rem 521
  17. 50 rem 55
  18. 989 rem 8
  19. 820 rem 40
  20. 953 rem 2
  21. 477 rem 16
  22. 714 rem 773
  23. 273 rem 60
  24. 36 rem 324
  25. 193 rem 39
  26. 227 rem 47
  27. 86 rem 70
  28. 766 rem 924
  29. 24 rem 27
  30. 552 rem 165
  31. 398 rem 971
  32. 956 rem 798
  33. 55 rem 85
  34. 1017 rem 21
  35. 262 rem 720
  36. 596 rem 4
  37. 277 rem 4
  38. 770 rem 49
  39. 498 rem 5
  40. 425 rem 30

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