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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 645 · 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. 1.982443 ÷ 988 =
  2. 2.610034 ÷ 989 =
  3. 3.985090 ÷ 988 =
  4. 4.76339 ÷ 88 =
  5. 5.963358 ÷ 997 =
  6. 6.66622 ÷ 98 =
  7. 7.175472 ÷ 997 =
  8. 8.173285 ÷ 989 =
  9. 9.499854 ÷ 897 =
  10. 10.23010 ÷ 88 =
  11. 11.310439 ÷ 998 =
  12. 12.83754 ÷ 89 =
  13. 13.1027 ÷ 96 =
  14. 14.79446 ÷ 88 =
  15. 15.550352 ÷ 997 =
  16. 16.3733 ÷ 8 =
  17. 17.20458 ÷ 96 =
  18. 18.488688 ÷ 998 =
  19. 19.67602 ÷ 89 =
  20. 20.254679 ÷ 997 =
  21. 21.32985 ÷ 88 =
  22. 22.39395 ÷ 97 =
  23. 23.7814 ÷ 89 =
  24. 24.860875 ÷ 988 =
  25. 25.216230 ÷ 997 =
  26. 26.37846 ÷ 96 =
  27. 27.34765 ÷ 96 =
  28. 28.772261 ÷ 998 =
  29. 29.98534 ÷ 98 =
  30. 30.863526 ÷ 988 =
  31. 31.17446 ÷ 97 =
  32. 32.96071 ÷ 998 =
  33. 33.2584 ÷ 8 =
  34. 34.18749 ÷ 96 =
  35. 35.99911 ÷ 96 =
  36. 36.86135 ÷ 89 =
  37. 37.571390 ÷ 989 =
  38. 38.7711 ÷ 8 =
  39. 39.739684 ÷ 897 =
  40. 40.4592 ÷ 96 =

Answer key

  1. 994 rem 371
  2. 616 rem 810
  3. 997 rem 54
  4. 867 rem 43
  5. 966 rem 256
  6. 679 rem 80
  7. 176 rem 0
  8. 175 rem 210
  9. 557 rem 225
  10. 261 rem 42
  11. 311 rem 61
  12. 941 rem 5
  13. 10 rem 67
  14. 902 rem 70
  15. 552 rem 8
  16. 466 rem 5
  17. 213 rem 10
  18. 489 rem 666
  19. 759 rem 51
  20. 255 rem 444
  21. 374 rem 73
  22. 406 rem 13
  23. 87 rem 71
  24. 871 rem 327
  25. 216 rem 878
  26. 394 rem 22
  27. 362 rem 13
  28. 773 rem 807
  29. 1005 rem 44
  30. 874 rem 14
  31. 179 rem 83
  32. 96 rem 263
  33. 323 rem 0
  34. 195 rem 29
  35. 1040 rem 71
  36. 967 rem 72
  37. 577 rem 737
  38. 963 rem 7
  39. 824 rem 556
  40. 47 rem 80

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