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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 954 · 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. 1.463288 ÷ 897 =
  2. 2.78382 ÷ 98 =
  3. 3.765594 ÷ 998 =
  4. 4.2952 ÷ 8 =
  5. 5.578054 ÷ 897 =
  6. 6.549351 ÷ 897 =
  7. 7.4343 ÷ 97 =
  8. 8.141114 ÷ 997 =
  9. 9.784089 ÷ 988 =
  10. 10.254177 ÷ 997 =
  11. 11.67643 ÷ 98 =
  12. 12.34160 ÷ 998 =
  13. 13.30512 ÷ 96 =
  14. 14.991316 ÷ 997 =
  15. 15.55829 ÷ 97 =
  16. 16.946609 ÷ 997 =
  17. 17.100079 ÷ 988 =
  18. 18.2263 ÷ 89 =
  19. 19.8048 ÷ 8 =
  20. 20.296062 ÷ 988 =
  21. 21.27052 ÷ 88 =
  22. 22.68818 ÷ 88 =
  23. 23.14564 ÷ 97 =
  24. 24.71940 ÷ 89 =
  25. 25.6751 ÷ 8 =
  26. 26.537335 ÷ 998 =
  27. 27.831679 ÷ 997 =
  28. 28.410076 ÷ 988 =
  29. 29.22367 ÷ 897 =
  30. 30.11285 ÷ 96 =
  31. 31.463546 ÷ 988 =
  32. 32.89930 ÷ 88 =
  33. 33.618002 ÷ 998 =
  34. 34.831810 ÷ 997 =
  35. 35.37351 ÷ 98 =
  36. 36.5183 ÷ 8 =
  37. 37.392230 ÷ 997 =
  38. 38.151075 ÷ 998 =
  39. 39.3251 ÷ 97 =
  40. 40.98173 ÷ 96 =

Answer key

  1. 516 rem 436
  2. 799 rem 80
  3. 767 rem 128
  4. 369 rem 0
  5. 644 rem 386
  6. 612 rem 387
  7. 44 rem 75
  8. 141 rem 537
  9. 793 rem 605
  10. 254 rem 939
  11. 690 rem 23
  12. 34 rem 228
  13. 317 rem 80
  14. 994 rem 298
  15. 575 rem 54
  16. 949 rem 456
  17. 101 rem 291
  18. 25 rem 38
  19. 1006 rem 0
  20. 299 rem 650
  21. 307 rem 36
  22. 782 rem 2
  23. 150 rem 14
  24. 808 rem 28
  25. 843 rem 7
  26. 538 rem 411
  27. 834 rem 181
  28. 415 rem 56
  29. 24 rem 839
  30. 117 rem 53
  31. 469 rem 174
  32. 1021 rem 82
  33. 619 rem 240
  34. 834 rem 312
  35. 381 rem 13
  36. 647 rem 7
  37. 393 rem 409
  38. 151 rem 377
  39. 33 rem 50
  40. 1022 rem 61

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