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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 262 · 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. 1.380563 ÷ 997 =
  2. 2.77221 ÷ 97 =
  3. 3.937793 ÷ 989 =
  4. 4.6042 ÷ 8 =
  5. 5.191622 ÷ 989 =
  6. 6.11690 ÷ 89 =
  7. 7.373437 ÷ 989 =
  8. 8.832561 ÷ 998 =
  9. 9.15199 ÷ 98 =
  10. 10.55632 ÷ 88 =
  11. 11.18887 ÷ 88 =
  12. 12.7988 ÷ 8 =
  13. 13.862852 ÷ 998 =
  14. 14.795191 ÷ 988 =
  15. 15.1419 ÷ 8 =
  16. 16.46108 ÷ 88 =
  17. 17.8556 ÷ 97 =
  18. 18.4755 ÷ 97 =
  19. 19.316854 ÷ 997 =
  20. 20.171964 ÷ 989 =
  21. 21.305652 ÷ 988 =
  22. 22.225743 ÷ 998 =
  23. 23.92439 ÷ 88 =
  24. 24.23673 ÷ 98 =
  25. 25.17902 ÷ 97 =
  26. 26.849145 ÷ 997 =
  27. 27.142026 ÷ 998 =
  28. 28.47810 ÷ 97 =
  29. 29.775246 ÷ 998 =
  30. 30.1342 ÷ 8 =
  31. 31.509769 ÷ 989 =
  32. 32.59354 ÷ 88 =
  33. 33.5105 ÷ 98 =
  34. 34.668016 ÷ 897 =
  35. 35.43089 ÷ 88 =
  36. 36.80567 ÷ 88 =
  37. 37.110254 ÷ 988 =
  38. 38.235754 ÷ 989 =
  39. 39.894133 ÷ 988 =
  40. 40.52594 ÷ 98 =

Answer key

  1. 381 rem 706
  2. 796 rem 9
  3. 948 rem 221
  4. 755 rem 2
  5. 193 rem 745
  6. 131 rem 31
  7. 377 rem 584
  8. 834 rem 229
  9. 155 rem 9
  10. 632 rem 16
  11. 214 rem 55
  12. 998 rem 4
  13. 864 rem 580
  14. 804 rem 839
  15. 177 rem 3
  16. 523 rem 84
  17. 88 rem 20
  18. 49 rem 2
  19. 317 rem 805
  20. 173 rem 867
  21. 309 rem 360
  22. 226 rem 195
  23. 1050 rem 39
  24. 241 rem 55
  25. 184 rem 54
  26. 851 rem 698
  27. 142 rem 310
  28. 492 rem 86
  29. 776 rem 798
  30. 167 rem 6
  31. 515 rem 434
  32. 674 rem 42
  33. 52 rem 9
  34. 744 rem 648
  35. 489 rem 57
  36. 915 rem 47
  37. 111 rem 586
  38. 238 rem 372
  39. 904 rem 981
  40. 536 rem 66

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