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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 986 · 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. 1.7063 ÷ 8 =
  2. 2.78098 ÷ 88 =
  3. 3.5387 ÷ 8 =
  4. 4.7263 ÷ 98 =
  5. 5.79141 ÷ 96 =
  6. 6.94452 ÷ 989 =
  7. 7.393064 ÷ 989 =
  8. 8.53754 ÷ 96 =
  9. 9.88147 ÷ 89 =
  10. 10.52279 ÷ 97 =
  11. 11.7344 ÷ 8 =
  12. 12.435535 ÷ 998 =
  13. 13.826157 ÷ 998 =
  14. 14.14313 ÷ 88 =
  15. 15.301178 ÷ 997 =
  16. 16.168431 ÷ 997 =
  17. 17.89017 ÷ 98 =
  18. 18.540 ÷ 8 =
  19. 19.327423 ÷ 998 =
  20. 20.214470 ÷ 988 =
  21. 21.986180 ÷ 989 =
  22. 22.5614 ÷ 8 =
  23. 23.11818 ÷ 97 =
  24. 24.872397 ÷ 998 =
  25. 25.50152 ÷ 98 =
  26. 26.2582 ÷ 89 =
  27. 27.2076 ÷ 8 =
  28. 28.50598 ÷ 98 =
  29. 29.307935 ÷ 989 =
  30. 30.7979 ÷ 96 =
  31. 31.99222 ÷ 88 =
  32. 32.321325 ÷ 998 =
  33. 33.3919 ÷ 98 =
  34. 34.76177 ÷ 98 =
  35. 35.2724 ÷ 8 =
  36. 36.4891 ÷ 8 =
  37. 37.823332 ÷ 989 =
  38. 38.249062 ÷ 997 =
  39. 39.19641 ÷ 88 =
  40. 40.29218 ÷ 97 =

Answer key

  1. 882 rem 7
  2. 887 rem 42
  3. 673 rem 3
  4. 74 rem 11
  5. 824 rem 37
  6. 95 rem 497
  7. 397 rem 431
  8. 559 rem 90
  9. 990 rem 37
  10. 538 rem 93
  11. 918 rem 0
  12. 436 rem 407
  13. 827 rem 811
  14. 162 rem 57
  15. 302 rem 84
  16. 168 rem 935
  17. 908 rem 33
  18. 67 rem 4
  19. 328 rem 79
  20. 217 rem 74
  21. 997 rem 147
  22. 701 rem 6
  23. 121 rem 81
  24. 874 rem 145
  25. 511 rem 74
  26. 29 rem 1
  27. 259 rem 4
  28. 516 rem 30
  29. 311 rem 356
  30. 83 rem 11
  31. 1127 rem 46
  32. 321 rem 967
  33. 39 rem 97
  34. 777 rem 31
  35. 340 rem 4
  36. 611 rem 3
  37. 832 rem 484
  38. 249 rem 809
  39. 223 rem 17
  40. 301 rem 21

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