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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 635 · 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. 1.26299 ÷ 98 =
  2. 2.76755 ÷ 98 =
  3. 3.88561 ÷ 96 =
  4. 4.875095 ÷ 988 =
  5. 5.38119 ÷ 96 =
  6. 6.98047 ÷ 97 =
  7. 7.420599 ÷ 997 =
  8. 8.24694 ÷ 96 =
  9. 9.34697 ÷ 97 =
  10. 10.40817 ÷ 96 =
  11. 11.811854 ÷ 998 =
  12. 12.2064 ÷ 8 =
  13. 13.75454 ÷ 96 =
  14. 14.72461 ÷ 97 =
  15. 15.25881 ÷ 998 =
  16. 16.54556 ÷ 98 =
  17. 17.40029 ÷ 97 =
  18. 18.537026 ÷ 988 =
  19. 19.718 ÷ 8 =
  20. 20.72093 ÷ 98 =
  21. 21.7480 ÷ 97 =
  22. 22.94522 ÷ 98 =
  23. 23.87173 ÷ 89 =
  24. 24.42312 ÷ 88 =
  25. 25.94043 ÷ 98 =
  26. 26.1809 ÷ 8 =
  27. 27.26537 ÷ 98 =
  28. 28.2032 ÷ 8 =
  29. 29.58966 ÷ 89 =
  30. 30.369189 ÷ 998 =
  31. 31.78712 ÷ 89 =
  32. 32.10834 ÷ 88 =
  33. 33.3417 ÷ 8 =
  34. 34.68147 ÷ 97 =
  35. 35.4023 ÷ 8 =
  36. 36.541763 ÷ 989 =
  37. 37.190222 ÷ 998 =
  38. 38.245271 ÷ 988 =
  39. 39.17433 ÷ 97 =
  40. 40.87107 ÷ 97 =

Answer key

  1. 268 rem 35
  2. 783 rem 21
  3. 922 rem 49
  4. 885 rem 715
  5. 397 rem 7
  6. 1010 rem 77
  7. 421 rem 862
  8. 257 rem 22
  9. 357 rem 68
  10. 425 rem 17
  11. 813 rem 480
  12. 258 rem 0
  13. 785 rem 94
  14. 747 rem 2
  15. 25 rem 931
  16. 556 rem 68
  17. 412 rem 65
  18. 543 rem 542
  19. 89 rem 6
  20. 735 rem 63
  21. 77 rem 11
  22. 964 rem 50
  23. 979 rem 42
  24. 480 rem 72
  25. 959 rem 61
  26. 226 rem 1
  27. 270 rem 77
  28. 254 rem 0
  29. 662 rem 48
  30. 369 rem 927
  31. 884 rem 36
  32. 123 rem 10
  33. 427 rem 1
  34. 702 rem 53
  35. 502 rem 7
  36. 547 rem 780
  37. 190 rem 602
  38. 248 rem 247
  39. 179 rem 70
  40. 898 rem 1

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