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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 23 · 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. 1.481099 ÷ 897 =
  2. 2.39302 ÷ 97 =
  3. 3.65284 ÷ 98 =
  4. 4.21903 ÷ 89 =
  5. 5.156141 ÷ 998 =
  6. 6.60299 ÷ 997 =
  7. 7.621549 ÷ 897 =
  8. 8.68404 ÷ 88 =
  9. 9.6327 ÷ 8 =
  10. 10.340329 ÷ 897 =
  11. 11.811167 ÷ 897 =
  12. 12.36429 ÷ 96 =
  13. 13.9513 ÷ 8 =
  14. 14.32440 ÷ 88 =
  15. 15.60031 ÷ 96 =
  16. 16.862049 ÷ 989 =
  17. 17.366578 ÷ 989 =
  18. 18.14150 ÷ 98 =
  19. 19.77553 ÷ 88 =
  20. 20.897468 ÷ 997 =
  21. 21.40516 ÷ 96 =
  22. 22.11993 ÷ 98 =
  23. 23.237970 ÷ 998 =
  24. 24.9919 ÷ 98 =
  25. 25.223718 ÷ 988 =
  26. 26.9779 ÷ 8 =
  27. 27.96201 ÷ 98 =
  28. 28.86945 ÷ 96 =
  29. 29.8479 ÷ 89 =
  30. 30.33374 ÷ 97 =
  31. 31.489134 ÷ 989 =
  32. 32.21301 ÷ 96 =
  33. 33.765790 ÷ 989 =
  34. 34.71741 ÷ 98 =
  35. 35.88746 ÷ 98 =
  36. 36.65709 ÷ 88 =
  37. 37.23216 ÷ 88 =
  38. 38.24403 ÷ 98 =
  39. 39.241819 ÷ 989 =
  40. 40.6682 ÷ 8 =

Answer key

  1. 536 rem 307
  2. 405 rem 17
  3. 666 rem 16
  4. 246 rem 9
  5. 156 rem 453
  6. 60 rem 479
  7. 692 rem 825
  8. 777 rem 28
  9. 790 rem 7
  10. 379 rem 366
  11. 904 rem 279
  12. 379 rem 45
  13. 1189 rem 1
  14. 368 rem 56
  15. 625 rem 31
  16. 871 rem 630
  17. 370 rem 648
  18. 144 rem 38
  19. 881 rem 25
  20. 900 rem 168
  21. 422 rem 4
  22. 122 rem 37
  23. 238 rem 446
  24. 101 rem 21
  25. 226 rem 430
  26. 1222 rem 3
  27. 981 rem 63
  28. 905 rem 65
  29. 95 rem 24
  30. 344 rem 6
  31. 494 rem 568
  32. 221 rem 85
  33. 774 rem 304
  34. 732 rem 5
  35. 905 rem 56
  36. 746 rem 61
  37. 263 rem 72
  38. 249 rem 1
  39. 244 rem 503
  40. 835 rem 2

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