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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 643 · 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. 1.710554 ÷ 988 =
  2. 2.12025 ÷ 988 =
  3. 3.74198 ÷ 98 =
  4. 4.912412 ÷ 989 =
  5. 5.366692 ÷ 989 =
  6. 6.4416 ÷ 8 =
  7. 7.26770 ÷ 89 =
  8. 8.916681 ÷ 988 =
  9. 9.203128 ÷ 998 =
  10. 10.19284 ÷ 96 =
  11. 11.59011 ÷ 88 =
  12. 12.24563 ÷ 989 =
  13. 13.3351 ÷ 8 =
  14. 14.30394 ÷ 96 =
  15. 15.30494 ÷ 88 =
  16. 16.96220 ÷ 98 =
  17. 17.236269 ÷ 988 =
  18. 18.145245 ÷ 988 =
  19. 19.809098 ÷ 997 =
  20. 20.44227 ÷ 89 =
  21. 21.86158 ÷ 988 =
  22. 22.659863 ÷ 997 =
  23. 23.3633 ÷ 88 =
  24. 24.366173 ÷ 997 =
  25. 25.7518 ÷ 8 =
  26. 26.462740 ÷ 998 =
  27. 27.19502 ÷ 89 =
  28. 28.29733 ÷ 989 =
  29. 29.258472 ÷ 998 =
  30. 30.325929 ÷ 989 =
  31. 31.338541 ÷ 997 =
  32. 32.74914 ÷ 98 =
  33. 33.246390 ÷ 997 =
  34. 34.19235 ÷ 96 =
  35. 35.98951 ÷ 97 =
  36. 36.67645 ÷ 96 =
  37. 37.1101 ÷ 8 =
  38. 38.331152 ÷ 988 =
  39. 39.43167 ÷ 89 =
  40. 40.98292 ÷ 88 =

Answer key

  1. 719 rem 182
  2. 12 rem 169
  3. 757 rem 12
  4. 922 rem 554
  5. 370 rem 762
  6. 552 rem 0
  7. 300 rem 70
  8. 927 rem 805
  9. 203 rem 534
  10. 200 rem 84
  11. 670 rem 51
  12. 24 rem 827
  13. 418 rem 7
  14. 316 rem 58
  15. 346 rem 46
  16. 981 rem 82
  17. 239 rem 137
  18. 147 rem 9
  19. 811 rem 531
  20. 496 rem 83
  21. 87 rem 202
  22. 661 rem 846
  23. 41 rem 25
  24. 367 rem 274
  25. 939 rem 6
  26. 463 rem 666
  27. 219 rem 11
  28. 30 rem 63
  29. 258 rem 988
  30. 329 rem 548
  31. 339 rem 558
  32. 764 rem 42
  33. 247 rem 131
  34. 200 rem 35
  35. 1020 rem 11
  36. 704 rem 61
  37. 137 rem 5
  38. 335 rem 172
  39. 485 rem 2
  40. 1116 rem 84

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