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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 456 · 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. 1.405200 ÷ 989 =
  2. 2.601 ÷ 8 =
  3. 3.506915 ÷ 897 =
  4. 4.69535 ÷ 96 =
  5. 5.87032 ÷ 88 =
  6. 6.71796 ÷ 96 =
  7. 7.12551 ÷ 97 =
  8. 8.152581 ÷ 997 =
  9. 9.43548 ÷ 88 =
  10. 10.220973 ÷ 897 =
  11. 11.713449 ÷ 897 =
  12. 12.2089 ÷ 8 =
  13. 13.640960 ÷ 998 =
  14. 14.64143 ÷ 98 =
  15. 15.5075 ÷ 98 =
  16. 16.778487 ÷ 897 =
  17. 17.53725 ÷ 88 =
  18. 18.204963 ÷ 897 =
  19. 19.58868 ÷ 89 =
  20. 20.87986 ÷ 98 =
  21. 21.2189 ÷ 88 =
  22. 22.9902 ÷ 96 =
  23. 23.9056 ÷ 8 =
  24. 24.78480 ÷ 98 =
  25. 25.20409 ÷ 88 =
  26. 26.221816 ÷ 988 =
  27. 27.61900 ÷ 96 =
  28. 28.14380 ÷ 89 =
  29. 29.1951 ÷ 97 =
  30. 30.2747 ÷ 8 =
  31. 31.3352 ÷ 89 =
  32. 32.950192 ÷ 897 =
  33. 33.947830 ÷ 997 =
  34. 34.246556 ÷ 998 =
  35. 35.65369 ÷ 98 =
  36. 36.31811 ÷ 997 =
  37. 37.940558 ÷ 997 =
  38. 38.90493 ÷ 88 =
  39. 39.197885 ÷ 988 =
  40. 40.836540 ÷ 988 =

Answer key

  1. 409 rem 699
  2. 75 rem 1
  3. 565 rem 110
  4. 724 rem 31
  5. 989 rem 0
  6. 747 rem 84
  7. 129 rem 38
  8. 153 rem 40
  9. 494 rem 76
  10. 246 rem 311
  11. 795 rem 334
  12. 261 rem 1
  13. 642 rem 244
  14. 654 rem 51
  15. 51 rem 77
  16. 867 rem 788
  17. 610 rem 45
  18. 228 rem 447
  19. 661 rem 39
  20. 897 rem 80
  21. 24 rem 77
  22. 103 rem 14
  23. 1132 rem 0
  24. 800 rem 80
  25. 231 rem 81
  26. 224 rem 504
  27. 644 rem 76
  28. 161 rem 51
  29. 20 rem 11
  30. 343 rem 3
  31. 37 rem 59
  32. 1059 rem 269
  33. 950 rem 680
  34. 247 rem 50
  35. 667 rem 3
  36. 31 rem 904
  37. 943 rem 387
  38. 1028 rem 29
  39. 200 rem 285
  40. 846 rem 692

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